Author : Steve Bradlow
Publisher : Cambridge University Press
Page : 516 pages
File Size : 34,50 MB
Release : 2009-05-21
Category : Mathematics
ISBN : 0521734711
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Author : Costa Farràs Costa
Publisher :
Page : 202 pages
File Size : 23,17 MB
Release : 1998
Category :
ISBN :
Author : Andrej N. Tjurin
Publisher : Universitätsverlag Göttingen
Page : 330 pages
File Size : 40,38 MB
Release : 2008
Category : Vector bundles
ISBN : 3938616741
This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional algebraic varieties, a theory which is central to algebraic geometry and most of its applications.
Author : Masaki Maruyama
Publisher : CRC Press
Page : 324 pages
File Size : 13,58 MB
Release : 2023-05-31
Category : Mathematics
ISBN : 1000950700
"Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan. Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry."
Author : Costa Farràs Costa
Publisher :
Page : pages
File Size : 27,32 MB
Release : 2008
Category :
ISBN : 9788469144190
Author : Leticia Brambila-Paz
Publisher : Cambridge University Press
Page : 506 pages
File Size : 26,79 MB
Release : 2009-05-21
Category : Mathematics
ISBN : 1139480049
Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.
Author : N. J. Hitchin
Publisher : Cambridge University Press
Page : 359 pages
File Size : 47,79 MB
Release : 1995-03-16
Category : Mathematics
ISBN : 0521498783
This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.
Author : Daniel Huybrechts
Publisher : Cambridge University Press
Page : 345 pages
File Size : 15,22 MB
Release : 2010-05-27
Category : Mathematics
ISBN : 1139485822
This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Author : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 22,61 MB
Release : 2003
Category : Mathematics
ISBN : 0821832646
This volume contains 13 papers from the conference on ``Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory''. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians by S.-T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.
Author : P. E. Newstead
Publisher : Alpha Science International Limited
Page : 166 pages
File Size : 19,95 MB
Release : 2012
Category : Mathematics
ISBN : 9788184871623
Geometric Invariant Theory (GIT), developed in the 1960s by David Mumford, is the theory of quotients by group actions in Algebraic Geometry. Its principal application is to the construction of various moduli spaces. Peter Newstead gave a series of lectures in 1975 at the Tata Institute of Fundamental Research, Mumbai on GIT and its application to the moduli of vector bundles on curves. It was a masterful yet easy to follow exposition of important material, with clear proofs and many examples. The notes, published as a volume in the TIFR lecture notes series, became a classic, and generations of algebraic geometers working in these subjects got their basic introduction to this area through these lecture notes. Though continuously in demand, these lecture notes have been out of print for many years. The Tata Institute is happy to re-issue these notes in a new print.
