Three Lectures on Commutative Algebra
About this Title
Gemma Colomé-Nin, Universitat de Barcelona, Barcelona, Spain, Teresa Cortadellas Benítez, Universitat de Barcelona, Barcelona, Spain, Juan Elias, Universitat de Barcelona, Barcelona, Spain and Santiago Zarzuela, Universitat de Barcelona, Barcelona, Spain, Editors
Publication: University Lecture Series
Publication Year 2008: Volume 42
ISBNs: 978-0-8218-4434-2 (print); 978-1-4704-2186-1 (online)
MathSciNet review: MR2404090
MSC: Primary 13-06
This book provides careful and detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications. The book is based on courses at the Winter School on Commutative Algebra and Applications held in Barcelona: Tight closure and vector bundles, by H. Brenner; Combinatorics and commutative algebra, by J. Herzog; and Constructive desingularization, by O. Villamayor.
The exposition is aimed at graduate students who have some experience with basic commutative algebra or algebraic geometry but may also serve as an introduction to these modern approaches for mathematicians already familiar with commutative algebra.
Graduate students and research mathematicians interested in commutative algebra and algebraic geometry.
Table of Contents
- Chapter 1. Holger Brenner – Tight closure and vector bundles
- Chapter 2. Jürgen Herzog – Combinatorics and commutative algebra
- Chapter 3. Orlando Villamayor – Notes on constructive desingularization