Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians: 39 (Aspects of Mathematics) - Tapa blanda

Harder, G�nter

9783834826862: Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians: 39 (Aspects of Mathematics)

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ISBN 10: 3834826863 ISBN 13: 9783834826862

Editorial: Vieweg+Teubner Verlag, 2014

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This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.
Finally, the author gives some outlook into further developments- for instance �tale cohomology- and states some fundamental theorems.

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Prof. Dr. G�nter Harder, Max-Planck-Institute for Mathematics, Bonn

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In this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.
The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.

Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians.

Prof. Dr. G�nter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.

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Editorial: Vieweg+Teubner Verlag
A�o de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 3834826863
ISBN 13: 9783834826862
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N�mero de p�ginas: 380
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9783834804327: Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians: 39 (Aspects of Mathematics)

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ISBN 10: 3834804320 ISBN 13: 9783834804327
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Lectures on Algebraic Geometry II

G�nter Harder

Publicado por Vieweg+Teubner Verlag, 2014

ISBN 10: 3834826863 ISBN 13: 9783834826862

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Algebraische Geometrie: Von Abel und Riemann bis heuteProf. Dr. Guenter Harder, Max-Planck-Institute for Mathematics, BonnThis second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The fin. N� de ref. del art�culo: 11813284

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Lectures on Algebraic Geometry II

G�nter Harder

Publicado por Vieweg+Teubner Okt 2014, 2014

ISBN 10: 3834826863 ISBN 13: 9783834826862

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this second volume of 'Lectures on Algebraic Geometry', the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians.Prof. Dr. G�nter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany. 365 pp. Englisch. N� de ref. del art�culo: 9783834826862

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Lectures on Algebraic Geometry II : Basic Concepts, Coherent Cohomology, Curves and their Jacobians

G�nter Harder

Publicado por Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 2014

ISBN 10: 3834826863 ISBN 13: 9783834826862

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

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Taschenbuch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this second volume of 'Lectures on Algebraic Geometry', the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians.Prof. Dr. G�nter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany. N� de ref. del art�culo: 9783834826862

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Lectures on Algebraic Geometry II

G�nter Harder

Publicado por Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Okt 2014, 2014

ISBN 10: 3834826863 ISBN 13: 9783834826862

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Taschenbuch. Condici�n: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.Finally, the author gives some outlook into further developments- for instance �tale cohomology- and states some fundamental theorems.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Stra�e 46, 65189 Wiesbaden 380 pp. Englisch. N� de ref. del art�culo: 9783834826862

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