Introduction to Algebraic Geometry by Serge Lang

Introduction to Algebraic Geometry by Serge Lang

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.

French-born Serge Lang (1927-2005) graduated from Cal Tech and received his PhD from Princeton, where he studied under Emil Artin. He taught at the University of Chicago, Columbia, and Yale.

SKU	Unavailable
ISBN 13	9780486834221
ISBN 10	0486834220
Title	Introduction to Algebraic Geometry
Author	Serge Lang
Series	Dover Books On Mathematics Ser
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2019-04-26
Number of pages	272
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.