Algebraic Geometry An Introduction

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...

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Bibliographic Details
Main Author: Perrin, Daniel
Format: eBook
Language:English
Published: London Springer London 2008, 2008
Edition:1st ed. 2008
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Affine algebraic sets
  • Projective algebraic sets
  • Sheaves and varieties
  • Dimension
  • Tangent spaces and singular points
  • Bézout'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