Algebraic Introduction to Complex Projective Geometry: Commutative Algebra, Vol. 1
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Synopsis
An excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.
Booknews
An introductory text presenting a cohesive set of methods in commutative algebra for use in geometry written for students with a basic knowledge of linear and multilinear algebra and some elementary group theory. The topics cover rings, homomorphisms, ideals, modules, noetherian and artinian rings, integral and algebraic extensions, affine schemes, and proofs for Zariski's main theorem and Chevalley's semi-continuity theorem. Modern intersection theory is detailed in a study of Weil and Cartier divisors. Annotation c. Book News, Inc., Portland, OR (booknews.com)