Introduction to Algebraic Geometry and Commutative Algebra

Authors: Dilip P. Patil, Indian Institute of Science, Bengaluru; Uwe Storch, Professor Emeritus, Ruhr University Bochum, Germany

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. Along the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. With concise yet clear definitions and synopses a selection is made from the wealth of material in the disciplines including the Riemann-Roch theorem for arbitrary projective curves.

ISBN 978-981-4304-56-6 | First published in 2010 Co-publisher: World Scientific Publishing Company