Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696, Band 1696) - Softcover

9783540648635: Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696, Band 1696)

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ISBN 10: 3540648631 ISBN 13: 9783540648635

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to model theory.- to stability theory and Morley rank.- Omega-stable groups.- Model theory of algebraically closed fields.- to abelian varieties and the Mordell-Lang conjecture.- The model-theoretic content of Lang's conjecture.- Zariski geometries.- Differentially closed fields.- Separably closed fields.- Proof of the Mordell-Lang conjecture for function fields.- Proof of Manin's theorem by reduction to positive characteristic.

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Verlag: Springer
Erscheinungsdatum: 2009
Sprache: Englisch
ISBN 10: 3540648631
ISBN 13: 9783540648635
Einband: Taschenbuch
Auflage: 1
Anzahl der Seiten: 228
Herausgeber: Bouscaren Elisabeth
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Model Theory and Algrbraic Geometry: An Introduction to E. Hrushovski's Proof of the Geometric Mordell-Lang Conjecture - Lecture Notes in Mathematics 1696

Bouscaren, Elisabeth (ed.)

Verlag: Springer Verlag, Berling, Heidelberg, New York, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Paperback. Zustand: Very Good. Berling, Heidelberg, New York: Springer Verlag, 1998. 211 pp. 23.5 x 15.5 cm. Light rubbing to covers from normal shelfwear; small bump to head of spine. Light foxing to inside of covers and edges of text block. Interior is clean and unmarked. Binding is firm. Soft Cover. Very Good. Bestandsnummer des Verk�ufers 625221

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Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696)

Verlag: Springer, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696)

Verlag: Springer, 1998

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Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics)

Elisabeth Bouscaren

Verlag: Springer 2009-02-22, 2009

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Model Theory and Algebraic Geometry

Elisabeth Bouscaren

Verlag: Springer Berlin Heidelberg Sep 1998, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Introduction Model theorists have often joked in recent years that the part of mathemat ical logic known as 'pure model theory' (or stability theory), as opposed to the older and more traditional 'model theory applied to algebra' , turns out to have more and more to do with other subjects ofmathematics and to yield gen uine applications to combinatorial geometry, differential algebra and algebraic geometry. We illustrate this by presenting the very striking application to diophantine geometry due to Ehud Hrushovski: using model theory, he has given the first proof valid in all characteristics of the 'Mordell-Lang conjecture for function fields' (The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667-690). More recently he has also given a new (model theoretic) proof of the Manin-Mumford conjecture for semi-abelian varieties over a number field. His proofyields the first effective bound for the cardinality ofthe finite sets involved (The Manin-Mumford conjecture, preprint). There have been previous instances of applications of model theory to alge bra or number theory, but these appl~cations had in common the feature that their proofs used a lot of algebra (or number theory) but only very basic tools and results from the model theory side: compactness, first-order definability, elementary equivalence. 228 pp. Englisch. Bestandsnummer des Verk�ufers 9783540648635

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Model Theory and Algebraic Geometry

Bouscaren, Elisabeth

Verlag: Springer Berlin Heidelberg, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696, Band 1696)

Elisabeth Bouscaren:

Verlag: Berlin. Springer Verlag., 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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kartoniert kartoniert. Zustand: Sehr gut. 211 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und pers�nlicher Service - jedes Buch h�ndisch gepr�ft und beschrieben - aus unserem Familienbetrieb seit �ber 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 344. Bestandsnummer des Verk�ufers 494672

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Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics, 1696)

Bouscaren, Elisabeth [Editor]

Verlag: Springer, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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paperback. Zustand: New. In shrink wrap. Looks like an interesting title! Bestandsnummer des Verk�ufers Q-3540648631

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Model Theory and Algebraic Geometry

Elisabeth Bouscaren

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 1998, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Taschenbuch. Zustand: Neu. Neuware -Introduction Model theorists have often joked in recent years that the part of mathemat ical logic known as 'pure model theory' (or stability theory), as opposed to the older and more traditional 'model theory applied to algebra' , turns out to have more and more to do with other subjects ofmathematics and to yield gen uine applications to combinatorial geometry, differential algebra and algebraic geometry. We illustrate this by presenting the very striking application to diophantine geometry due to Ehud Hrushovski: using model theory, he has given the first proof valid in all characteristics of the 'Mordell-Lang conjecture for function fields' (The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667-690). More recently he has also given a new (model theoretic) proof of the Manin-Mumford conjecture for semi-abelian varieties over a number field. His proofyields the first effective bound for the cardinality ofthe finite sets involved (The Manin-Mumford conjecture, preprint). There have been previous instances of applications of model theory to alge bra or number theory, but these appl~cations had in common the feature that their proofs used a lot of algebra (or number theory) but only very basic tools and results from the model theory side: compactness, first-order definability, elementary equivalence. 228 pp. Englisch. Bestandsnummer des Verk�ufers 9783540648635

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Model Theory and Algebraic Geometry : An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

Elisabeth Bouscaren

Verlag: Springer Berlin Heidelberg, 1998

ISBN 10: 3540648631 ISBN 13: 9783540648635

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Introduction Model theorists have often joked in recent years that the part of mathemat ical logic known as 'pure model theory' (or stability theory), as opposed to the older and more traditional 'model theory applied to algebra' , turns out to have more and more to do with other subjects ofmathematics and to yield gen uine applications to combinatorial geometry, differential algebra and algebraic geometry. We illustrate this by presenting the very striking application to diophantine geometry due to Ehud Hrushovski: using model theory, he has given the first proof valid in all characteristics of the 'Mordell-Lang conjecture for function fields' (The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667-690). More recently he has also given a new (model theoretic) proof of the Manin-Mumford conjecture for semi-abelian varieties over a number field. His proofyields the first effective bound for the cardinality ofthe finite sets involved (The Manin-Mumford conjecture, preprint). There have been previous instances of applications of model theory to alge bra or number theory, but these appl~cations had in common the feature that their proofs used a lot of algebra (or number theory) but only very basic tools and results from the model theory side: compactness, first-order definability, elementary equivalence. Bestandsnummer des Verk�ufers 9783540648635

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