Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete)

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".

Complex Geometry: An Introduction (Universitext)

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Complex Geometry: An Introduction (Universitext)
Daniel Huybrechts
Manufacturer: Springer
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Binding: Paperback

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Similar Items:

Complex Manifolds and Deformation of Complex Structures (Classics in Mathematics)
Calabi-Yau Manifolds and Related Geometries
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics)
Complex Manifolds (AMS Chelsea Publishing)
Principles of Algebraic Geometry

Accessories:

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Algebraic Cobordism (Springer Monographs in Mathematics)
Introduction to Singularities and Deformations (Springer Monographs in Mathematics)

ASIN: 3540212906

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.

Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals

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Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals
R.K. Lazarsfeld
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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Similar Items:

Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete)
Birational Geometry of Algebraic Varieties (Cambridge Tracts in Mathematics)
Introduction to the Mori Program
Higher-Dimensional Algebraic Geometry
Intersection Theory

Accessories:

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Algebraic Cobordism (Springer Monographs in Mathematics)
Introduction to Singularities and Deformations (Springer Monographs in Mathematics)

ASIN: 3540225315

Book Description

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".

Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)

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Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)
Robert Friedman
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387983619

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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.

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)

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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)
Takuro Mochizuki
Manufacturer: American Mathematical Society
ProductGroup: Book
Binding: Paperback

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ASIN: 082183942X
Release Date: 2006-12-11

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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.

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)

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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)
Takuro Mochizuki
Manufacturer: American Mathematical Society
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Binding: Paperback

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Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles (Memoirs of the American Mathematical Society)

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Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles (Memoirs of the American Mathematical Society)
O. Garcia-prada , P. B. Gothen , and V. Munoz
Manufacturer: Amer Mathematical Society
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Binding: Paperback

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Cohomology of Vector Bundles & Syzgies
Jerzy Weyman
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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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.

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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.

Complex Projective Geometry: Selected Papers (London Mathematical Society Lecture Note Series)

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Complex Projective Geometry: Selected Papers (London Mathematical Society Lecture Note Series)

Manufacturer: Cambridge University Press
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Binding: Paperback

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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.

Helices and Vector Bundles: Seminaire Rudakov (London Mathematical Society Lecture Note Series)

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Helices and Vector Bundles: Seminaire Rudakov (London Mathematical Society Lecture Note Series)

Manufacturer: Cambridge University Press
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Binding: Paperback

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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).

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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.

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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.

Rudyard Kipling: The Jungle Book, The Second Jungle Book, Just So Stories, Puck of Pook's Hill, Stalky & Co., Kim

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Rudyard Kipling: The Jungle Book, The Second Jungle Book, Just So Stories, Puck of Pook's Hill, Stalky & Co., Kim
Rudyard Kipling
Manufacturer: Octopus/Heinemann
ProductGroup: Book
Binding: Hardcover

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Puck of Pook's Hill
Rudyard Kipling
Manufacturer: Leipzig Bernhard Tauchnitz
ProductGroup: Book
Binding: Unknown Binding

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English History lite

American Notes / Puck of Pook's Hill Lt
Rudyard Kipling
Manufacturer: Blue Unicorn Editions
ProductGroup: Book
Binding: Paperback

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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.

Humor und Historie in Kiplings Puck-Geschichten (Abhandlungen der Akademie der Wissenschaften in Gottingen, Philologisch-Historische Klasse)

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Humor und Historie in Kiplings Puck-Geschichten (Abhandlungen der Akademie der Wissenschaften in Gottingen, Philologisch-Historische Klasse)
Ernst Theodor Sehrt
Manufacturer: Vandenhoeck und Ruprecht
ProductGroup: Book
Binding: Perfect Paperback

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ASIN: 3525823983

$THE JUNGLE BOOK, SECOND JUNGLE BOOK, JUST SO STORIES, PUCK OF POOK\'S HILL, STALKY & CO., KIM$
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THE JUNGLE BOOK, SECOND JUNGLE BOOK, JUST SO STORIES, PUCK OF POOK\'S HILL, STALKY & CO., KIM
RUDYARD KIPLING
Manufacturer: BOOK CLUB ASSOCIATES (HEINEMANN, OCTOPUS, SECKER & WARBURG)
ProductGroup: Book
Binding: Hardcover

THE MANDALAY EDITION OF THE WORKS OF RUDYARD KIPLING PUCK OF POOK'S HILL 1905-1906, REWARDS AND FAIRIES

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THE MANDALAY EDITION OF THE WORKS OF RUDYARD KIPLING PUCK OF POOK'S HILL 1905-1906, REWARDS AND FAIRIES
Rudyard Kipling
Manufacturer: Doubleday, Page & Co.
ProductGroup: Book
Binding: Hardcover

Puck of Pook s Hill (Large Print Edition)

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Puck of Pook s Hill (Large Print Edition)
Rudyard Kipling
Manufacturer: BiblioBazaar
ProductGroup: Book
Binding: Paperback

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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.

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Puck of Pook's Hill
Rudyard Kipling
Manufacturer: BiblioBazaar
ProductGroup: Book
Binding: Paperback

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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.

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PUCK OF POOK'S HILL
KIPLING
Manufacturer: MACMILLAN
ProductGroup: Book
Binding: Hardcover
ASIN: B000S5TG98

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