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Author Lang, Serge, 1927-2005, author.

Title Introduction to Algebraic Geometry [electronic resource] / Serge Lang.

Publication Info. [Place of publication not identified] : Dover Publications, [2019]
©2019

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Description 1 online resource (272 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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Summary Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.
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Subject Geometry, Algebraic.
Genre/Form Electronic books.
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Other Form: Print version: Lang, Serge, 1927-2005. Introduction to algebraic geometry. Mineola, New York : Dover Publications, Inc., 2019. 9780486834221 (DLC)2018040328
ISBN 9780486839806 (epub)
Standard No. 9780486839806

 
    
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