Six Lectures On Commutative Algebra

Author: J. Elias
Publisher: Springer Science & Business Media
ISBN: 3034603290
Size: 43.25 MB
Format: PDF, ePub, Docs
View: 4667
Get Books

Six Lectures On Commutative Algebra

eBook File: Six-lectures-on-commutative-algebra.PDF Book by J. Elias, Six Lectures On Commutative Algebra Books available in PDF, EPUB, Mobi Format. Download Six Lectures On Commutative Algebra books, Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke (Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V. Vasconcelos (Rutgers), providing a fresh and extensive account of the results, techniques and problems of some of the most active areas of research. The present volume is a synthesis of the lectures given by these authors. Research workers as well as graduate students in commutative algebra and nearby areas will find a useful overview of the field and recent developments in it. Reviews "All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." - Acta Scientiarum Mathematicarum Avramov lecture: "... it contains all the major results [on infinite free resolutions], it explains carefully all the different techniques that apply, it provides complete proofs (...). This will be extremely helpful for the novice as well as the experienced." - Mathematical reviews Huneke lecture: "The topic is tight closure, a theory developed by M. Hochster and the author which has in a short time proved to be a useful and powerful tool. (...) The paper is extremely well organized, written, and motivated." - Zentralblatt MATH Schenzel lecture: "... this paper is an excellent introduction to applications of local cohomology." - Zentralblatt MATH Valla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory." - Mathematical reviews Vasconcelos lecture: "This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them." - Zentralblatt MATH

Language: en
Pages: 402

Six Lectures on Commutative Algebra

Authors: J. Elias, J. M. Giral, Rosa M. Miró-Roig, Santiago Zarzuela

Categories: Mathematics

Type: BOOK - Published: 2010-03-17 - Publisher: Springer Science & Business Media

Get Books

Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue),

Language: en
Pages: 190

Three Lectures on Commutative Algebra

Authors: Holger Brenner, Jürgen Herzog, Jurgen Herzog, Orlando E. Villamayor

Categories: Mathematics

Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

Get Books

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

Language: en
Pages: 358

Commutative Algebra

Authors: Luchezar L. Avramov

Categories: Mathematics

Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

Get Books

This volume contains 21 articles based on invited talks given at two international conferences held in France in 2001. Most of the papers are devoted to various problems of commutative algebra and their relation to properties of algebraic varieties. The book is suitable for graduate students and research mathematicians interested

Language: en
Pages:

Commutative Algebra and Noncommutative Algebraic Geometry

Authors: Luchezar L. Avramov

Categories: Mathematics

Type: BOOK - Published: - Publisher:

Get Books

Books about Commutative Algebra and Noncommutative Algebraic Geometry

Language: en
Pages: 276

Computational Commutative Algebra and Combinatorics

Authors: Takayuki Hibi

Categories: Mathematics

Type: BOOK - Published: 2002 - Publisher: Mathematical Soc of Japan

Get Books

This volume constitutes the proceedings of the International Conference on ``Computational Commutative Algebra and Combinatorics'' held in Osaka, Japan. It contains excellent survey articles and research papers on various topics related to the theme of the conference. Of particular interest are two survey articles, ``Algebraic Shifting'' by Gil Kalai and