Jayce Getz

(Author)

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (2012)Hardcover - 2012, 30 March 2012

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (2012)
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Part of Series
Progress in Mathematics
Print Length
258 pages
Language
English
Publisher
Birkhauser
Date Published
30 Mar 2012
ISBN-10
3034803508
ISBN-13
9783034803502

Description

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.

Product Details

Authors:
Jayce GetzMark Goresky
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
30 March 2012
Dimensions:
23.37 x 15.49 x 2.03 cm
ISBN-10:
3034803508
ISBN-13:
9783034803502
Language:
English
Location:
Basel
Pages:
258
Publisher:
Weight:
498.95 gm

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