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

Creator

• Getz, Jayce

Contributor

• Goresky, Mark, 1950-

Subject

• Geometry, algebraic.
• Hilbert modular surfaces
• Hilbert modular surfaces
• Hilbert modular surfaces
• Intersection homology theory
• Intersection homology theory
• Intersection homology theory
• MATHEMATICS -- Transformations
• Mathematics
• Number theory.
• Algebraic Geometry.

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 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

Member of

• Progress in mathematics (Boston, Mass.), v. 298

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