سه سخنرانی درباره جبر جابجایی [مدرسه زمستانی درباره جبر جابجایی و کاربردها از 30 ژانویه تا 3 فوریه 2006 در مؤسسه ریاضیات دانشگاه بارسلونا برگزار شد]

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. "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 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."--BOOK JACKET Tight Closure And Vector Bundles / Holger Brenner -- Combinatorics And Commutative Algebra / Jürgen Herzog -- Notes On Constructive Desingularization / Orlando Villamayor -- Holger Brenner, Jürgen Herzog, Orlando Villamayor ; Edited By Gemma Colomé-nin ... [et Al.]. Includes Bibliographical References.