Commutative Algebra And Algebraic Geometry

The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field.

Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area.

Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.

This book is an expanded amalgamation of several sets of Class Notes of M.Sc and M.Phil courses on Commutative Algebra and Algebraic Geometry that I have taught over the past two decades at the University of Hyderabad. These notes in- clude sketchy versions by auditors D. Krishnaiah (M.Sc-1980); PLN Varma (M.Sc- 1984, M.Phil-1985), G. Sri Nagesh (M.Phil-1989), M.S. Datt (M.Sc-1994, M.Phil- 1995), and more systematic versions by U.K.