ENGLISH

Algebraic Geometry: An Introduction

By Daniel Perrin (auth.)

Book information

Publisher
Springer-Verlag London
Year
2008
ISBN
1848000553, 978-1-84800-055-1
DOI
10.1007/978-1-84800-056-8
Open Library ID
OL16678308M
Language
english
Format
PDF
Filesize
3 MB (2950377 bytes)
Series
Universitext
Edition
1
Pages
263\267
Time added
2010-05-17 00:23:50
Algebraic Geometry; General Algebraic Systems; Matgeneral

Description

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 – 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.

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