Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change - Couverture rigide
Synopsis
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics, 298)
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Springer Basel Mrz 2012, 2012
ISBN 10 : 3034803508
ISBN 13 : 9783034803502
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces. 272 pp. Englisch. N° de réf. du vendeur 9783034803502
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change: Vol 298
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Edité par
Springer Basel, Springer Basel Mär 2012, 2012
ISBN 10 : 3034803508
ISBN 13 : 9783034803502
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 272 pp. Englisch. N° de réf. du vendeur 9783034803502
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces. N° de réf. du vendeur 9783034803502
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