Algebraic Varieties

Author: G. Kempf

Publisher: Cambridge University Press

ISBN: 9780521426138

Category: Mathematics

Page: 163

View: 8067

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.
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Algebraic Geometry

A Concise Dictionary

Author: Elena Rubei

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110316234

Category: Mathematics

Page: 239

View: 3639

Algebraic geometry is one of the most classic subjects of university research in mathematics. It has a very complicated language that makes life very difficult for beginners. This book is a little dictionary of algebraic geometry: for every of the most common words in algebraic geometry, it contains its definition, several references and the statements of the main theorems about that term (without their proofs). Also some terms of other subjects, close to algebraic geometry, have been included. It was born to help beginners that know some basic facts of algebraic geometry, but not every basic fact, to follow seminars and to read papers, by providing them with basic definitions and statements. The form of a dictionary makes it very easy and quick to consult.
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Vector Bundles in Algebraic Geometry

Author: N. J. Hitchin,P. E. Newstead,W. M. Oxbury

Publisher: Cambridge University Press

ISBN: 9780521498784

Category: Mathematics

Page: 345

View: 1931

The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks–Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space.
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Number Theory and Algebraic Geometry

Author: Miles Reid,H. P. F. Swinnerton-Dyer,Alexei Skorobogatov

Publisher: Cambridge University Press

ISBN: 9780521545181

Category: Mathematics

Page: 300

View: 315

This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
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New Trends in Algebraic Geometry

Author: England) Euroconference on Algebraic Geometry (1996 Warwick

Publisher: Cambridge University Press

ISBN: 9780521646598

Category: Mathematics

Page: 484

View: 3354

Seventeen articles from the most outstanding contemporary topics in algebraic geometry.
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Representation Theory and Algebraic Geometry

Author: A. Martsinkovsky

Publisher: Cambridge University Press

ISBN: 9780521577892

Category: Mathematics

Page: 123

View: 5994

For any researcher working in representation theory, algebraic or arithmetic geometry.
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Galois Representations in Arithmetic Algebraic Geometry

Author: A. J. Scholl,R. L. Taylor,Robert L. Taylor

Publisher: Cambridge University Press

ISBN: 9780521644198

Category: Mathematics

Page: 493

View: 8846

Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
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Cox Rings

Author: Ivan Arzhantsev,Ulrich Derenthal,Jürgen Hausen,Antonio Laface

Publisher: Cambridge University Press

ISBN: 1107024625

Category: Mathematics

Page: 472

View: 1625

This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
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Quadratic Forms with Applications to Algebraic Geometry and Topology

Author: Albrecht Pfister

Publisher: Cambridge University Press

ISBN: 9780521467551

Category: Mathematics

Page: 179

View: 3358

This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained as possible. This book brings together thirty years' worth of results certain to interest anyone whose research touches on quadratic forms.
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The Resolution of Singular Algebraic Varieties

Author: David Ellwood,Herwig Hauser,Shigefumi Mori,Josef Schicho

Publisher: American Mathematical Soc.

ISBN: 0821889826

Category: Mathematics

Page: 340

View: 2033

Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may tempt the reader to enter more deeply into a topic where many mysteries--especially the positive characteristic case--await to be disclosed. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
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Algebraic and Analytic Geometry

Author: Amnon Neeman

Publisher: Cambridge University Press

ISBN: 0521709830

Category: Mathematics

Page: 420

View: 6646

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
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Linear Algebraic Monoids

Author: Mohan S. Putcha

Publisher: Cambridge University Press

ISBN: 0521358094

Category: Mathematics

Page: 171

View: 1590

This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally.
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