Introduction to Algebraic Geometry - Serge Lang

Introduction to Algebraic Geometry by Serge Lang is an introductory text on the algebraic side of algebraic geometry, described as the study of systems of algebraic equations in several variables and the structures that can be given to their solutions. This paperback edition presents a rapid, concise and self-contained approach that assumes familiarity with elementary algebra up to the level of Galois theory.

Key details

• Author: Serge Lang
• Format: Paperback
• Pages: 272
• Publisher: Dover Publications Inc
• Publication date: 26 April 2019
• ISBN: 9780486834221

Synopsis

Lang outlines algebraic geometry through four approaches: analytical, topological, algebraico-geometric and arithmetic, before concentrating on the algebraic aspects of the algebraico-geometric method. The book begins with a chapter on the general theory of places, then moves through algebraic varieties, the absolute theory of varieties, and products, projections and correspondences.

Later chapters cover normal varieties, divisors and linear systems, differential forms, the theory of simple points and algebraic groups, concluding with the Riemann-Roch theorem. The volume also includes theorems of a general nature connected to the foundations of the theory of algebraic groups.

Rackhams Reference : N5JVMWE3QT