Coverart for item
The Resource Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky

Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky

Label
Hilbert modular forms with coefficients in intersection homology and quadratic base change
Title
Hilbert modular forms with coefficients in intersection homology and quadratic base change
Statement of responsibility
Jayce Getz, Mark Goresky
Creator
Contributor
Subject
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
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Getz, Jayce
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
http://library.link/vocab/relatedWorkOrContributorDate
1950-
http://library.link/vocab/relatedWorkOrContributorName
Goresky, Mark
Series statement
Progress in mathematics
Series volume
v. 298
http://library.link/vocab/subjectName
  • Hilbert modular surfaces
  • Intersection homology theory
  • Mathematics
  • MATHEMATICS
  • Hilbert modular surfaces
  • Intersection homology theory
Label
Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Explicit Construction of Cycles
  • The Full Version of Theorem 1.3
  • Eisenstein Series with Coefficients in Intersection Homology
  • Introduction
  • Review of Chains and Cochains
  • Review of Intersection Homology and Cohomology
  • Review of Arithmetic Quotients
  • Generalities on Hilbert Modular Forms and Varieties
  • Automorphic Vector Bundles and Local Systems
  • The Automorphic Description of Intersection Cohomology
  • Hilbert Modular Forms with Coefficients in a Hecke Module
Control code
785149448
Dimensions
unknown
Extent
1 online resource (xiii, 256 pages).
File format
unknown
Form of item
online
Isbn
9783034803502
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)785149448
Label
Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Explicit Construction of Cycles
  • The Full Version of Theorem 1.3
  • Eisenstein Series with Coefficients in Intersection Homology
  • Introduction
  • Review of Chains and Cochains
  • Review of Intersection Homology and Cohomology
  • Review of Arithmetic Quotients
  • Generalities on Hilbert Modular Forms and Varieties
  • Automorphic Vector Bundles and Local Systems
  • The Automorphic Description of Intersection Cohomology
  • Hilbert Modular Forms with Coefficients in a Hecke Module
Control code
785149448
Dimensions
unknown
Extent
1 online resource (xiii, 256 pages).
File format
unknown
Form of item
online
Isbn
9783034803502
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)785149448

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      38.944491 -92.326012
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