Articles liés à Six Lectures on Commutative Algebra
Synopsis
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." - Mathematicalreviews
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
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Six Lectures on Commutative Algebra (Progress in Mathematics, 166)
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Six Lectures on Commutative Algebra
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Etat : New. Based on the Summer School on Commutative Algebra at the Centre de Recerca Matematica in Bellaterra, this volume offers an overview of research in the field. Readers will find a fresh and extensive account of the results, techniques and problems discussed. Editor(s): Elias, J.; Giral, J. M.; Miro-Roig, R. M.; Zarzuela, S.; Bass, Hyman; Oesterle, Joseph; Weinstein, Alan. Series: Progress in Mathematics. Num Pages: 402 pages, biography. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 763. . 1998. Hardback. . . . . N° de réf. du vendeur V9783764359515
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Six Lectures on Commutative Algebra
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Buch. Etat : Neu. Neuware - 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 MathematicarumAvramov 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 reviewsHuneke 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 MATHSchenzel lecture: '. this paper is an excellent introduction to applications of local cohomology.' - Zentralblatt MATHValla 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.' - MathematicalreviewsVasconcelos lecture: 'This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them.' - Zentralblatt MATH. N° de réf. du vendeur 9783764359515
Quantité disponible : 2 disponible(s)