Introduction to Algebraic Geometry

Introduction to Algebraic Geometry is a comprehensive textbook written by Serge Lang that explores the fundamental concepts of algebraic geometry. The book is part of the Interscience Tracts in Pure and Applied Mathematics series and is the fifth volume in the series. The book is divided into three parts: the first part provides an introduction to the basic concepts of algebraic geometry, including algebraic sets, varieties, and morphisms. The second part delves deeper into the theory of algebraic curves, covering topics such as intersection theory, Riemann-Roch theorem, and Abel's theorem. The third part covers the theory of algebraic surfaces, including the classification of surfaces, the Hodge index theorem, and the Enriques-Kodaira classification. Throughout the book, Lang emphasizes the importance of understanding the geometric intuition behind the algebraic concepts. The book is written in a clear and concise manner, making it accessible to both graduate students and researchers in the field of mathematics. It also includes numerous examples and exercises to reinforce the concepts covered in each chapter. Overall, Introduction to Algebraic Geometry is an essential resource for anyone interested in learning about the theory of algebraic geometry. It provides a solid foundation for further study in the field and is a valuable reference for researchers working in related areas of mathematics.Additional Editor Is J. J. Stoker.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.