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
Resource Information
The item Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xiii, 256 pages).
 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
 Isbn
 9783034803502
 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
 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
 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
 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
 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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