Introduction to Algebraic Geometry and Commutative Algebra (IISc Lecture Notes Series No. 1)
By: Uwe Storch (author), Dilip P. Patil (author)Paperback
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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.
Finitely Generated Algebras; K-spectrum and the Zariski Topology; Prime Spectra and Dimension; Schemes; Projective Schemes; Regular, Normal, Smooth Points; Riemann-Roch Theorem;
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- ID: 9789814307581
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