ISBN 9789382264019,Introduction to Algebraic Geometry and Commutative Algebra

Introduction to Algebraic Geometry and Commutative Algebra

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ISBN 9789382264019
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Cambridge University Press

Publication Year 2012

ISBN 9789382264019

ISBN-10 9382264019

Paper Back

Number of Pages 222 Pages
Language (English)

Algebraic geometry

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. Along the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. with concise yet clear definitions and synopses a selection is made from the wealth of material in the disciplines including the Riemann-Roch theorem for arbitrary projective curves.

Table of Contents
Series Preface
Chapter 1: Finitely Generated Algebra
Chapter 2: The K-Algebra and the Zariski Topology
Chapter 3: Prime Spectra and Dimension
Chapter 4: Schemes
Chapter 5: Projective Schemes
Chapter 6: Regular, Normal and Smooth Points
Chapter 7: Riemann:Roch Theorem References
List of Symbols
Biography of Authors