Automorphic Forms and the Picard Number of an Elliptic Surface: 5 (Aspects of Mathematics) - Tapa blanda

Stiller, Peter F.

9783322907103: Automorphic Forms and the Picard Number of an Elliptic Surface: 5 (Aspects of Mathematics)

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ISBN 10: 3322907104 ISBN 13: 9783322907103

Editorial: Vieweg+Teubner Verlag, 2012

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In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E,Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E,E) which is of I type (1,1), that is to say a class in H(E,9!) which can be viewed as a 2 subspace of H(E,E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p,p) is algebraic. In our case this is the Lefschetz Theorem on (I,l)-classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E,Z) for 2 its image under the natural mapping into H (E,t). Thus NS(E) modulo 2 torsion is Hl(E,n!) n H(E,Z) and th 1 b i f h -~ p measures e a ge ra c part 0 t e cohomology.

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EditorialVieweg+Teubner Verlag
A�o de publicaci�n2012
ISBN 10 3322907104
ISBN 13 9783322907103
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9783528085872: Automorphic Forms and the Picard Number of an Elliptic Surface: 5 (Aspects of Mathematics)

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ISBN 10: 3528085878 ISBN 13: 9783528085872
Editorial: Friedrich Vieweg & Sohn Verl..., 1984
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Automorphic Forms and the Picard Number of an Elliptic Surface

Peter F. Stiller

Publicado por Vieweg+Teubner Verlag, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Taschenbuch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E,Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E,E) which is of I type (1,1), that is to say a class in H(E,9!) which can be viewed as a 2 subspace of H(E,E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p,p) is algebraic. In our case this is the Lefschetz Theorem on (I,l)-classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E,Z) for 2 its image under the natural mapping into H (E,t). Thus NS(E) modulo 2 torsion is Hl(E,n!) n H(E,Z) and th 1 b i f h -~ p measures e a ge ra c part 0 t e cohomology. N� de ref. del art�culo: 9783322907103

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Automorphic Forms and the Picard Number of an Elliptic Surface

Peter F. Stiller

Publicado por Vieweg+Teubner Verlag, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divis. N� de ref. del art�culo: 4500849

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Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics)

Stiller, Peter F.

Publicado por Vieweg+Teubner Verlag, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics)

Peter F. Stiller

Publicado por Springer 1984-01-01, 1984

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Automorphic Forms and the Picard Number of an Elliptic Surface

Peter F. Stiller

Publicado por Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Automorphic Forms and the Picard Number of an Elliptic Surface

Stiller Peter F.

Publicado por Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Condici�n: New. Print on Demand pp. 204 Illus. N� de ref. del art�culo: 96193543

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Automorphic Forms and the Picard Number of an Elliptic Surface

Peter F. Stiller

Publicado por Vieweg+Teubner, Vieweg+Teubner Verlag Nov 2012, 2012

ISBN 10: 3322907104 ISBN 13: 9783322907103

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E,Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E,E) which is of I type (1,1), that is to say a class in H(E,9!) which can be viewed as a 2 subspace of H(E,E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p,p) is algebraic. In our case this is the Lefschetz Theorem on (I,l)-classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E,Z) for 2 its image under the natural mapping into H (E,t). Thus NS(E) modulo 2 torsion is Hl(E,n!) n H(E,Z) and th 1 b i f h -~ p measures e a ge ra c part 0 t e cohomology. 194 pp. Englisch. N� de ref. del art�culo: 9783322907103

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