Hilbert modular forms with coefficients in intersection homology and quadratic base change
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The work Hilbert modular forms with coefficients in intersection homology and quadratic base change represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Hilbert modular forms with coefficients in intersection homology and quadratic base change
Resource Information
The work Hilbert modular forms with coefficients in intersection homology and quadratic base change represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Hilbert modular forms with coefficients in intersection homology and quadratic base change
 Statement of responsibility
 Jayce Getz, Mark Goresky
 Language
 eng
 Summary
 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 Lfunctions. 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
 Cataloging source
 GW5XE
 Dewey number
 515/.733
 Index
 index present
 LC call number
 QA573
 LC item number
 .G48 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 Series statement
 Progress in mathematics
 Series volume
 v. 298
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