Book Description
This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.
Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
Book Description
Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists.
The author’s goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions.
Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.
Book Description
This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.
Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
Average customer rating:
|
Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)
Robert Friedman
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
 General
| Science
| Subjects
| Books
Differential Equations
| Applied
| Mathematics
| Science
| Subjects
| Books
General
| Mathematics
| Science
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
Mathematical Analysis
| Mathematics
| Science
| Subjects
| Books
Differential Equations
| Applied
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
All Amazon Upgrade
| Amazon Upgrade
| Stores
| Books
Professional & Technical
| Amazon Upgrade
| Stores
| Books
Science
| Amazon Upgrade
| Stores
| Books
All Titles
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Professional
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Science
| Qualifying Textbooks - Fall 2007
| Stores
| Books
ASIN: 0387983619 |
Book Description
This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of Hartshorne's ALGEBRAIC GEOMETRY), as well as more advanced graduate students and researchers in the areas of algebraic geometry, gauge thoery, or 4-manifold topolgogy. Many of the results on vector bundles should also be of interest to physicists studying string theory. A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, and are studied in alternate chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, and then the geometry of vector bundles over such surfaces is analyzed. Many of the results on vector bundles appear for the first time in book form, suitable for graduate students. The book also has a strong emphasis on examples, both of surfaces and vector bundles. There are over 100 exercises which form an integral part of the text.
Product Description
The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.
Product Description
The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.
Average customer rating:
|
Cohomology of Vector Bundles & Syzgies
Jerzy Weyman
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover
General
| Science
| Subjects
| Books
General
| Algebra
| Pure Mathematics
| Mathematics
| Science
| Subjects
| Books
Linear
| Algebra
| Pure Mathematics
| Mathematics
| Science
| Subjects
| Books
General
| Mathematics
| Science
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General
| Medicine
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
General
| Algebra
| Pure Mathematics
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
Linear
| Algebra
| Pure Mathematics
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
All Titles
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Medicine
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Professional
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Science
| Qualifying Textbooks - Fall 2007
| Stores
| Books
ASIN: 0521621976 |
Book Description
The central theme of this book is a detailed exposition of the geometric technique of calculating syzygies. While this is an important tool in algebraic geometry, Jerzy Weyman has elected to write from the point of view of commutative algebra in order to avoid being tied to special cases from geometry. No prior knowledge of representation theory is assumed. Chapters on several applications are included, and numerous exercises will give the reader insight into how to apply this important method.
Download Description
The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
Average customer rating:
|
Complex Projective Geometry: Selected Papers (London Mathematical Society Lecture Note Series)
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback
General
| Science
| Subjects
| Books
General
| Applied
| Mathematics
| Science
| Subjects
| Books
General
| Mathematics
| Science
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General
| Applied
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
ASIN: 0521433525 |
Book Description
Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: What is the geometric content of syzygies and of bundles derived from them? How can they be used for giving good compactifications of natural families? Which differential techniques are needed for the study of families of projective varieties? These questions are addressed in this cohesive volume, where results, work in progress, conjectures, and modern accounts of classical ideas are presented.
Average customer rating:
|
Helices and Vector Bundles: Seminaire Rudakov (London Mathematical Society Lecture Note Series)
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback
General
| Science
| Subjects
| Books
General
| Applied
| Mathematics
| Science
| Subjects
| Books
General
| Mathematics
| Science
| Subjects
| Books
Algebraic Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
Topology
| Geometry & Topology
| Mathematics
| Science
| Subjects
| Books
General
| Applied
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
General Geometry
| Geometry & Topology
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
ASIN: 0521388112 |
Book Description
This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organized in Moscow by A.N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected, the approach is concrete; the theory is considered for quadrics, ruled surfaces, K3 surfaces and PP^T3(C).
Average customer rating:
- Read it anyway, but don't give it to the kids without a warning.
- To be read over and over
- Not for the History Challenged
- An Excellent Work of Children's Fantasy
- Face to face with English gods, ghosts, trees and history
|
Puck of Pook's Hill (Dover Value Editions)
Rudyard Kipling
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback
Europe
| Fiction
| History & Historical Fiction
| Children's Books
| Subjects
| Books
General
| Classics by Age
| Literature
| Children's Books
| Subjects
| Books
Kipling, Rudyard
| ( K )
| Authors & Illustrators, A-Z
| Children's Books
| Subjects
| Books
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| Subjects
| Books
Kipling, Rudyard
| ( K )
| Authors, A-Z
| Literature & Fiction
| Subjects
| Books
Historical Fiction
| History & Historical Fiction
| Teens
| Subjects
| Books
Classics
| Literature & Fiction
| Teens
| Subjects
| Books
Kipling, Rudyard
| ( K )
| Authors & Illustrators, A-Z
| Children's Books
| 4-for-3 Books Store
| Stores
| Books
Europe
| Fiction
| History & Historical Fiction
| Children's Books
| 4-for-3 Books Store
| Stores
| Books
Classics by Age
| Literature
| Children's Books
| 4-for-3 Books Store
| Stores
| Books
( K )
| Authors, A-Z
| Literature & Fiction
| 4-for-3 Books Store
| Stores
| Books
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| 4-for-3 Books Store
| Stores
| Books
Historical Fiction
| History & Historical Fiction
| Teens
| 4-for-3 Books Store
| Stores
| Books
Classics
| Literature & Fiction
| Teens
| 4-for-3 Books Store
| Stores
| Books
All 4-for-3 Deals
| 4-for-3 Books Store
| Stores
| Books
Similar Items:
-
Rewards and Fairies
-
How the Heather Looks: A Joyous Journey to the British Sources of Children's Books
-
The Complete Stalky and Co. (Oxford World's Classic)
-
Good-Bye, Mr. Chips
-
Captains Courageous (Classic Collection (Brilliance Audio))
ASIN: 048645147X |
Book Description
In the perfect bedtime reading, a mischievous imp called Puck delights two precocious youngsters with 10 magical fables about the hidden histories of Old England. Written especially for Kipling's own children, each enchanting myth is followed by a selection of the master storyteller's spirited poetry.
Download Description
The children were at the Theatre, acting to Three Cows as much as they could remember of Midsummer Night's Dream. Their father had made them a small play out of the big Shakespeare one, and they had rehearsed it with him and with their mother till they could say it by heart. They began when Nick Bottom the weaver comes out of the bushes with a donkey's head on his shoulders, and finds Titania, Queen of the Fairies, asleep.
Customer Reviews:
Read it anyway, but don't give it to the kids without a warning........2007-02-26
Most of this book is worth reading as fantasy fiction, and all of it is worth studying as an example of late Victorian attitudes. Kipling didn't handle the transitions between "fantasy" and "reality" as well as modern writers who specialize in this sort of thing, but he did pretty well. However ... every time I read this to enjoy the adventures of Dan and Una, I trip up on the character of the medieval Jew who has an inborn, racial "talent for gold." While I don't usually think books should be updated or abridged for modern readers, I would consider excising just a few sentences of this one before letting a child read it.
I recall the comments of a Chinese-American reader who discovered that the beloved Louisa May Alcott used some demeaning stereotypes of Chinese people: Suddenly, one is cast out of the category of "reader" into the category of "other," and one never quite comes back.
To be read over and over.......2006-06-16
It seems to be fashionable, in this politically correct time, to find fault with Rudyard Kipling. But Kipling was a great writer with big ideas and a big heart. He wrote "Puck of Pook's Hill" and "Rewards and Fairies" to share his love of his mother country with young readers. These books are a great introduction to English history. I find it hard to imagine a reader not falling in love with the land and people of this great country after reading "Puck of Pook's Hill". The curious reader will seek out more information on what happened during their favorite characters' times, possibly leading to a lifelong love of history and the inclination to explore the world through reading.
Not for the History Challenged.......2005-08-04
I will not recommend this book to people who are not familiar with English history. I found myself stopping in the middle to research the characters because you cannot truly appreciate the book otherwise. This took away from the book's appeal. Someone who doesn't have an idea of who the characters are and what role they played during the period will undoubtedly be completely lost, because you cannot really glean all this from the book alone. Otherwise the book was well written, as Kipling always is. It is, however not a book everyone would enjoy.
An Excellent Work of Children's Fantasy.......2000-10-28
As I am very interested in the historical and mythological nature of Puck (aka Robin Goodfellow), best known for his role as the mischief-making fairy in Shakespeare's A Midsummer Night's Dream, I found these works by Kipling to be invaluable. These two novels are not only an excellent presentation of Puck, but an insight to British history. While considered children's books, I would recommend them to any adult in search of light reading. Truly two wonderful works of literature.
Face to face with English gods, ghosts, trees and history.......2000-10-05
Kipling's prose has a very special quality - quintissentially English, proud and very robust.
I asked a scholar of English and a Buddhist meditation teacher to recommend a good book for me and she thought briefly before mentioning this.
The poems in it are sometimes dated - the one about queen and country but this is a warm and pleasant read containing many important and esoteric aspects that few care to appreciate.
Ideal to communicate something about being a whole human being and this earthy realm with some of its hidden and ancient forces.
Average customer rating:
|
Puck of Pook's Hill
Rudyard Kipling
Manufacturer: Leipzig Bernhard Tauchnitz
ProductGroup: Book
Binding: Unknown Binding
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| Subjects
| Books
ASIN: B0000EF7D1 |
Average customer rating:
|
American Notes / Puck of Pook's Hill Lt
Rudyard Kipling
Manufacturer: Blue Unicorn Editions
ProductGroup: Book
Binding: Paperback
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| Subjects
| Books
ASIN: 1583961402 |
Customer Reviews:
English History lite.......2004-07-23
We've all heard of Puck, the mischievous sprite from Shakespeare's "A Midsummer Night's Dream". And even if we haven't, we know the type. The ancient trickster sprite found in every land around the world is a common enough creature. In "Puck of Pook's Hill", however, Rudyard Kipling establishes Puck as the very soul of England itself. Using Robin Goodfellow as a guide, Kipling is able to adeptly describe a range of important factors that lead to the glory of late nineteenth-century Britain. The result is an enchanting story featuring a beloved literary figure.
Two children living in England decide to act out a scene from "A Midsummer Night's Dream" on Midsummer Night itself in an old fairy ring of darkened grass. In so doing, the two accidentally conjure up Puck himself. Puck is as old as the land itself, and while all the other fairies and sprites have long left the land (all thanks to Henry the VIII as it happens) he remains. Over the course of the next months, Puck is able to bring figures from the English past to speak with the children and tell them stories. These figures include a knight carrying a runic sword, a Roman conqueror (born and raised in England, however), an artist, and a Jewish money lender who is responsible for the signing of the Magna Carta.
Admittedly, it would help to have a basic working knowledge of English history when approaching this text. Know your Saxons from your Normans. Understand the reasons the Picts hated the Romans (though Kipling is clearly on Rome's side in that struggle). Other details are easily filled in by the author himself, and Kipling is more than willing to use Puck to fill in gaps and misunderstandings for readers. The piece of land the book takes place on was the actual England land that Kipling himself owned at the time. The modern reader will find a couple usual stereotypes of the era. Africans are like children, ditto the Picts, and I won't even go into the Chinaman included. The Jews, by comparison, are shown a great deal of compassion by the author. Kadmiel (the Jew in question) is an impressive figure that speaks with more nobility than any other figure in the book. So kudos to Kipling for at least one interesting and three-dimensional minority. Bravo indeed.
Some will find this particular Kipling outing slow going. I, personally, thought the book was written quite well. I felt no shudders when I lifted the book up again to peruse it and despite its deceptively long length it's a quick read. Anyone who wishes to have a basic working knowledge of fairy doings in merry old England would do very well to give this piece of literature a look-see.
Average customer rating:
|
Puck of Pook s Hill (Large Print Edition)
Rudyard Kipling
Manufacturer: BiblioBazaar
ProductGroup: Book
Binding: Paperback
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| Subjects
| Books
Contemporary
| General
| Literature & Fiction
| Subjects
| Books
Kipling, Rudyard
| ( K )
| Authors, A-Z
| Literature & Fiction
| Subjects
| Books
ASIN: 1426491662
Release Date: 2007-04-25 |
Book Description
In the very spot where Dan had stood as Puck they saw a small brown broad shouldered pointy eared person with a snub nose slanting blue eyes and a grin that ran right across his freckled face.
Average customer rating:
|
Puck of Pook's Hill
Rudyard Kipling
Manufacturer: BiblioBazaar
ProductGroup: Book
Binding: Paperback
Kipling, Rudyard
| Classics
| British
| World Literature
| Literature & Fiction
| Subjects
| Books
Contemporary
| General
| Literature & Fiction
| Subjects
| Books
Kipling, Rudyard
| ( K )
| Authors, A-Z
| Literature & Fiction
| Subjects
| Books
ASIN: 1426491123
Release Date: 2007-04-25 |
Book Description
In the very spot where Dan had stood as Puck they saw a small brown broad shouldered pointy eared person with a snub nose slanting blue eyes and a grin that ran right across his freckled face.
Average customer rating:
|
PUCK OF POOK'S HILL
KIPLING
Manufacturer: MACMILLAN
ProductGroup: Book
Binding: Hardcover
ASIN: B000S5TG98 |
Books:
- Power Estimation and Optimization Methodologies for VLIW-based Embedded Systems
- Practical Inverse Analysis in Engineering (Crc Mechanical Engineering Series)
- Programming the Boundary Element Method: An Introduction for Engineers
- Quantitative Conservation Biology: Theory and Practice of Population Viability Analysis
- Radar System Performance Modeling, Second Edition
- Scattering Operator, Eisenstein Series, Inner Product Formula and "Maass-Selberg" Relations (Memoirs of the American Mathematical Society)
- Solid Freeform Fabrication: A New Direction in Manufacturing
- Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92) (Cbms Regional Conference Series in Mathematics)
- Spectral Methods: Fundamentals in Single Domains (Scientific Computation)
- Static Analysis: 13th International Symposium, SAS 2006, Seoul, Korea, August 29-31, 2006, Proceedings (Lecture Notes in Computer Science)
Books Index
Books Home
Recommended Books
- On Rope: North American Vertical Rope Techniques for Caving ... Rappellers
- History: Fiction or Science
- Agriculture in Semi Arid Environments
- Buddha, Volume 1: Kapilavastu
- Color Drawing: Design Drawing Skills and Techniques for Architects, Landscape Architects, and Interi
- First Aid for the Medicine Clerkship
- Cat Miscellany: Fascinating Facts about Cats
- Images of Enlightenment: Tibetan Art in Practice
- AutoCAD for Architectural Drawing Using AutoCAD 2000
- Bacterial Genetics in Natural Environments
Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals
Introduction to the Mori Program
Birational Geometry of Algebraic Varieties (Cambridge Tracts in Mathematics)
Intersection Theory
Higher-Dimensional Algebraic Geometry
