Overview

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. A selection is made from the wealth of material in the discipline, along with concise yet clear definitions and synopses.

Full Product Details

Author:   Dilip P Patil (Indian Inst Of Science, India) ,  Uwe Storch (Ruhr Univ Bochum, Germany)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   1
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 22.90cm
Weight:   0.544kg
ISBN:  

9789814304566

ISBN 10:   9814304565
Pages:   220
Publication Date:   01 April 2010
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Finitely Generated Algebras; The K-Spectrum and the Zariski Topology; Prime Spectra and Dimension; Schemes; Projective Schemes; Regular, Normal and Smooth Points; Riemann-Roch Theorem.

Reviews

This monograph is possibly unique in offering at the graduate level an equally balanced, detailed, thoroughly integrated and relatively advanced combination of core topics in commutative algebra and algebraic geometry. The material is well-illustrated with examples. Moreover there is a wide range of exercises, many of them informative and some quite challenging. -- MathSciNet MathSciNet

The material is well-illustrated with examples. Moreover there is a wide range of exercises, many of them informative and some quite challenging. -- MathSciNet MathSciNet

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