Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Algebraic Geometry: An Introduction

Algebraic Geometry: An Introduction
Catalogue Information
Field name Details
Dewey Class 516.35
Title Algebraic Geometry ([Ebook]) : An Introduction / by Daniel Perrin ; translated from the French by Catriona Maclean
Author Perrin, Daniel
Other name(s) SpringerLink (Online service)
Publication London : Springer , 2008.
Physical Details x, 258 pages : online resource.
Series Universitext
ISBN 9781848000568
Summary Note Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions â for example, Bézout's theorem and the problem of rational curves and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.:
Contents note Foreword -- Notation -- Introduction -- Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bézout's theorem -- Sheaf cohomology -- Arithmetic genus of curves -- Rational maps and geometric genus -- Liaison of space curves -- Appendices: Summary of useful results from algebra -- Schemes -- Problems -- References -- Index -- Index of notation.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-1-84800-056-8
Links to Related Works
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
Catalogue Information 27223 Beginning of record . Catalogue Information 27223 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating27223
Quick Search