Intersections of Hirzebruch?Zagier Divisors and CM Cycles (Lecture Notes in Mathematics, 2041)

Howard, Benjamin; Yang, Tonghai

ISBN 10: 3642239781 ISBN 13: 9783642239786

Edit� par Springer, 2012

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This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.

Pr�sentation de l'�diteur: This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.

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Titre : Intersections of Hirzebruch?Zagier Divisors ...
�diteur : Springer
Date d'�dition : 2012
Reliure : Couverture souple
Etat : New

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles (eng)

Howard, Benjamin

Edit� par Springer, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

Benjamin Howard|Tonghai Yang

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops new methods in explicit arithmetic intersection theory Develops new techniques for the study of Shimura varieties and automorphic forms, central objects in modern number theory Proves new cases of conjectures of S. Kudla. N� de r�f. du vendeur 5053396

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

Benjamin Howard (u. a.)

Edit� par Springer, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

Benjamin Howard

Edit� par Springer, Springer Vieweg, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. N� de r�f. du vendeur 9783642239786

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Intersections of Hirzebruch�Zagier Divisors and CM Cycles

Tonghai Yang

Edit� par Springer Berlin Heidelberg Jan 2012, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. 152 pp. Englisch. N� de r�f. du vendeur 9783642239786

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

Benjamin Howard

Edit� par Springer, Springer Vieweg Jan 2012, 2012

ISBN 10 : 3642239781 ISBN 13 : 9783642239786

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 152 pp. Englisch. N� de r�f. du vendeur 9783642239786

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