Algebraic Varieties

Author: G. Kempf

Publisher: Cambridge University Press

ISBN: 9780521426138

Category: Mathematics

Page: 163

View: 975

DOWNLOAD NOW »

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

Quadratic Forms with Applications to Algebraic Geometry and Topology

Author: Albrecht Pfister

Publisher: Cambridge University Press

ISBN: 9780521467551

Category: Mathematics

Page: 179

View: 4883

DOWNLOAD NOW »

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.
Release

New Trends in Algebraic Geometry

Author: England) Euroconference on Algebraic Geometry (1996 Warwick

Publisher: Cambridge University Press

ISBN: 9780521646598

Category: Mathematics

Page: 484

View: 8335

DOWNLOAD NOW »

Seventeen articles from the most outstanding contemporary topics in algebraic geometry.
Release

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: 4991

DOWNLOAD NOW »

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.
Release

Algebraic Geometry

A Concise Dictionary

Author: Elena Rubei

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110316234

Category: Mathematics

Page: 239

View: 7367

DOWNLOAD NOW »

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.
Release

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: 1234

DOWNLOAD NOW »

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

L-Functions and Arithmetic

Author: J. Coates,M. J. Taylor

Publisher: Cambridge University Press

ISBN: 9780521386197

Category: Mathematics

Page: 404

View: 1520

DOWNLOAD NOW »

This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The Symposium consisted of several short courses, aimed at presenting rigorous but nontechnical explanations of the latest research areas, and a number of individual lectures on specific topics.
Release