Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Hardcover, 2012 ed.)

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 adelic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Mathematics, 298
Release date:	March 2012
First published:	2012
Authors:	Jayce Getz • Mark Goresky
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	258
Edition:	2012 ed.
ISBN-13:	978-3-03-480350-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-03-480350-8
Barcode:	9783034803502

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