Lectures On Vector Bundles

Author : J. Le Potier
Publisher : Cambridge University Press
Page : 260 pages
File Size : 51,7 Mb
Release : 1997-01-28
Category : Mathematics
ISBN : 0521481821

Get Book

Lectures on Vector Bundles by J. Le Potier Pdf

This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The author also discusses the construction and elementary properties of the moduli spaces of stable bundles. In particular Le Potier constructs HilbertSHGrothendieck schemes of vector bundles, and treats Mumford's geometric invariant theory. The second part centers on the structure of the moduli space of semistable sheaves on the projective plane. The author sketches existence conditions for sheaves of given rank, and Chern class and construction ideas in the general context of projective algebraic surfaces. Professor Le Potier provides a treatment of vector bundles that will be welcomed by experienced algebraic geometers and novices alike.

Author : Robert C. Gunning
Publisher : Princeton University Press
Page : 251 pages
File Size : 44,9 Mb
Release : 1967-11-21
Category : Mathematics
ISBN : 9780691079981

Get Book

Lectures on Vector Bundles Over Riemann Surfaces by Robert C. Gunning Pdf

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Author : Robert C. Gunning
Publisher : Princeton University Press
Page : 254 pages
File Size : 40,7 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9780691218212

Get Book

Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6 by Robert C. Gunning Pdf

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Author : J. Le Potier
Publisher : Cambridge University Press
Page : 264 pages
File Size : 52,6 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 0521481821

Get Book

Lectures on Vector Bundles by J. Le Potier Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,6 Mb
Release : 2024-07-02
Category : Electronic
ISBN : OCLC:840408425

Get Book

LECTURES ON VECTOR BUNDLES OVER RIEMANN SURFACES- PRELIMINARY INFORMAL NOTES OF UNIVERSITY COURSES AND SEMINARS IN MATHEMATICS. by Anonim Pdf

Author : Steve Bradlow
Publisher : Cambridge University Press
Page : 516 pages
File Size : 50,5 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780521734714

Get Book

Moduli Spaces and Vector Bundles by Steve Bradlow Pdf

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

Author : Robert Friedman
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461216889

Get Book

Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman Pdf

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, 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, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.

Author : Shrawan Kumar,Gérard Laumon,Ulrich Stuhler
Publisher : Springer
Page : 202 pages
File Size : 55,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540497011

Get Book

Vector Bundles on Curves - New Directions by Shrawan Kumar,Gérard Laumon,Ulrich Stuhler Pdf

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.

Author : Shoshichi Kobayashi
Publisher : Princeton University Press
Page : 317 pages
File Size : 42,8 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400858682

Get Book

Differential Geometry of Complex Vector Bundles by Shoshichi Kobayashi Pdf

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Christian Okonek,Heinz Spindler,Michael Schneider
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 54,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475714609

Get Book

Vector Bundles on Complex Projective Spaces by Christian Okonek,Heinz Spindler,Michael Schneider Pdf

These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec tion a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of paragraphs. Each section is preceeded by a short description of iv its contents.

Author : Christian Okonek,Michael Schneider,Heinz Spindler
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 55,5 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783034801515

Get Book

Vector Bundles on Complex Projective Spaces by Christian Okonek,Michael Schneider,Heinz Spindler Pdf

These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S ́eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ̈ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.

Author : Glenys Luke,Alexander S. Mishchenko
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 51,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475769234

Get Book

Vector Bundles and Their Applications by Glenys Luke,Alexander S. Mishchenko Pdf

The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.

Author : N. J. Hitchin
Publisher : Cambridge University Press
Page : 359 pages
File Size : 55,5 Mb
Release : 1995-03-16
Category : Mathematics
ISBN : 9780521498784

Get Book

Vector Bundles in Algebraic Geometry by N. J. Hitchin Pdf

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Author : Gerd Faltings
Publisher : Princeton University Press
Page : 118 pages
File Size : 51,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882472

Get Book

Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 by Gerd Faltings Pdf

The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.

Author : Cumrun Vafa,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 392 pages
File Size : 40,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0821821598

Get Book

Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds by Cumrun Vafa,Shing-Tung Yau Pdf

The 16 articles presented here are based on lectures given at the Winter School on Mirror Symmetry held at Harvard University in January 1999. They represent recent progress and new directions in the field. Specific topics include Floer homology and mirror symmetry, special Lagrange fibrations, special Lagrangian submanifolds, and local mirror symmetry at higher genus. Other topics include homological mirror symmetry with higher products, categorical mirror symmetry in the elliptic curve, Lagrangian torus fibration of quintic hypersurfaces, mirror symmetry and T-duality, and mirror symmetry and actions of Braid groups on derived categories. This work lacks a subject index. c. Book News Inc.