Description

Book Synopsis
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.

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.

Introduction To Algebraic Geometry And

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    Order before 4pm tomorrow for delivery by Fri 19 Jun 2026.

    A Hardback by Dilip P Patil, Uwe Storch

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      View other formats and editions of Introduction To Algebraic Geometry And by Dilip P Patil

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 01/04/2010
      ISBN13: 9789814304566, 978-9814304566
      ISBN10: 9814304565

      Description

      Book Synopsis
      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.

      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.

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