Algebraic geometry : an introduction /

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Bibliographic Details
Author / Creator:Perrin, Daniel, 1946-
Uniform title:Géométrie algébraique. English
Imprint:London : Springer ; [Paris] : EDP Sciences, c2008.
Description:1 online resource (x, 258 p.) : ill.
Language:English
Series:Universitext
Universitext.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8885144
Hidden Bibliographic Details
ISBN:9781848000568
1848000561
1848000553 (acid-free paper)
2759800482 (EDP sciences : acid-free paper)
9781848000551 (acid-free paper)
9782759800483 (EDP sciences : acid-free paper)
9786611340407
6611340408
Notes:Includes bibliographical references and index.
Description based on print version record.
Summary:"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 Universite Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field."--Jacket.
Other form:Print version: Perrin, Daniel, 1946- Géométrie algébraique. English. Algebraic geometry. London : Springer ; [Paris] : EDP Sciences, c2008 9781848000551 1848000553
Table of Contents:
  • Affine algebraic sets
  • Projective algebraic sets
  • Sheaves and varieties
  • Dimension
  • Tangent spaces and singular points
  • Bezout's theorem
  • Sheaf cohomology
  • Arithmetic genus of curves and the weak Riemann-Roch theorem
  • Rational maps, geometric genus and rational curves
  • Liaison of space curves.