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OverviewThis 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 DetailsAuthor: 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: 9789814304566ISBN 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 ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsFinitely Generated Algebras; The K-Spectrum and the Zariski Topology; Prime Spectra and Dimension; Schemes; Projective Schemes; Regular, Normal and Smooth Points; Riemann-Roch Theorem.ReviewsThis 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |