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 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
- 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 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Hilbert-modular-forms-with-coefficients-in/vgzfCotX04w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Hilbert-modular-forms-with-coefficients-in/vgzfCotX04w/">Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
