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Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change: 298 - Rilegato
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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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreBirkhauser
- Data di pubblicazione2012
- ISBN 10 3034803508
- ISBN 13 9783034803502
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine248
- Contatto del produttorenon disponibile
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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. Condizione: 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. Codice articolo 9783034803502
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Buch. Condizione: 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. Codice articolo 9783034803502
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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: Vol 298
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Hardcover. Condizione: Brand New. 2012 edition. 269 pages. 9.25x6.25x1.00 inches. In Stock. Codice articolo x-3034803508
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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 (Progress in Mathematics, 298)
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