Introduction to Algebraic Geometry

Book Details

• Author: Serge Lang

• Brand: Dover

• Edition: Reprint Edition

• Binding: Paperback

• Format: Illustrated

• Number of Pages: 260

• Release Date: 20th March 2019

• ISBN: 9780486834221

• Package Dimensions: 8.9 x 5.9 x 0.5 inches

• Languages: English

About The Book
In this highly regarded volume, renowned mathematician Serge Lang introduces the complex field of algebraic geometry, defining it as the study of systems of algebraic equations in several variables and their solutions. Lang presents a rapid, concise, and self-contained introductory approach to the algebraic aspects of the algebraico-geometric method, making this book an excellent resource for those familiar with elementary algebra up to the level of Galois theory.

The book begins with an overview of the general theory of places, leading into a discussion of algebraic varieties, the absolute theory of varieties, and the concepts of products, projections, and correspondences. Lang further explores normal varieties, divisors, linear systems, differential forms, and the theory of simple points. He also delves into the theory of algebraic groups and concludes with a thorough examination of the Riemann-Roch theorem, covering all the essential theorems related to the foundations of algebraic groups.

This illustrated reprint edition of Lang’s classic work is an invaluable reference for students and scholars of algebraic geometry, providing both a deep theoretical foundation and a practical approach to the subject.