Introduction to Algebraic Geometry (Dover Books on Mathematics) - Softcover

Lang, Serge

Softcover

ISBN 10: 0486834220 ISBN 13: 9780486834221

Publisher: Dover Publications Inc, 2019

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Dover Publications Inc
• Publication date: 2019
• Language: English
• ISBN 10: 0486834220
• ISBN 13: 9780486834221
• Binding: Paperback
• Number of pages: 272