Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change Paperback - 2014
by Jayce Getz; Mark Goresky
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From the publisher
From the rear cover
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 adlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.
Details
- Title Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
- Author Jayce Getz; Mark Goresky
- Binding Paperback
- Pages 258
- Volumes 1
- Language ENG
- Publisher Birkhauser
- Publication date 2014-04-13
- Illustrated Yes
- Features Bibliography, Illustrated
- ISBN 9783034807951 / 3034807953
- Weight 0.9 lbs (0.41 kg)
- Dimensions 9 x 6.1 x 0.7 in (22.86 x 15.49 x 1.78 cm)
- Category Mathematics
- Dewey Decimal Code 516.35
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