Six Lectures on Commutative Algebra (Modern Birkhäuser Classics)

ISBN 10: 3034603282 ISBN 13: 9783034603287
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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.

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"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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Titre : Six Lectures on Commutative Algebra (Modern ...
Éditeur : Birkhäuser
Date d'édition : 2009
Reliure : Couverture souple
Etat : New

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Synthesis of lectures in a Summer School given at the Centre de Recerca Matematica in Bellaterra (Spain)Fresh and extensive account of the results, techniques and problems of some of the most active areas of researchSynthesis of lecture. N° de réf. du vendeur 4317922

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Taschenbuch. Etat : Neu. Six Lectures on Commutative Algebra | J. Elias (u. a.) | Taschenbuch | xi | Englisch | 2009 | Birkhäuser | EAN 9783034603287 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 101468078

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. 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 MATHSpringer Nature c/o IBS, Benzstrasse 21, 48619 Heek 416 pp. Englisch. N° de réf. du vendeur 9783034603287

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 9783034603287

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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.' - Mathematical reviewsVasconcelos lecture: 'This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them.' - Zentralblatt MATH 416 pp. Englisch. N° de réf. du vendeur 9783034603287

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