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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change: 298 (Progress in Mathematics) - Hardcover
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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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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
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783034803502
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Springer Basel, Springer Basel Mär 2012, 2012
ISBN 10: 3034803508
ISBN 13: 9783034803502
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Hardcover
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783034803502
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783034803502
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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 (Hardback or Cased Book)
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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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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
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Zustand: New. Print on Demand pp. 272. Bestandsnummer des Verkäufers 51017024
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