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; 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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- ID: 9789814304566
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