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03092nam a22004335i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310151452.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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120328s2012 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783034803519 |
|
978-3-0348-0351-9 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA241-247.5 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7 |
| Edition number |
23 |
| 264 #1 - |
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| -- |
Basel : |
| -- |
Springer Basel, |
| -- |
2012. |
| 912 ## - |
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| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Getz, Jayce. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Jayce Getz, Mark Goresky. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIII, 256p. 5 illus., 1 illus. in color. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Progress in Mathematics ; |
| Volume number/sequential designation |
298 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter 1. Introduction -- Chapter 2. Review of Chains and Cochains -- Chapter 3. Review of Intersection Homology and Cohomology -- Chapter 4. Review of Arithmetic Quotients -- Chapter 5. Generalities on Hilbert Modular Forms and Varieties -- Chapter 6. Automorphic vector bundles and local systems -- Chapter 7. The automorphic description of intersection cohomology -- Chapter 8. Hilbert Modular Forms with Coefficients in a Hecke Module -- Chapter 9. Explicit construction of cycles -- Chapter 10. The full version of Theorem 1.3 -- Chapter 11. Eisenstein Series with Coefficients in Intersection Homology -- Appendix A. Proof of Proposition 2.4 -- Appendix B. Recollections on Orbifolds -- Appendix C. Basic adèlic facts -- Appendix D. Fourier expansions of Hilbert modular forms -- Appendix E. Review of Prime Degree Base Change for GL2 -- Bibliography. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics. |
|
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| Topical term or geographic name as entry element |
Geometry, algebraic. |
|
|---|
| Topical term or geographic name as entry element |
Number theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
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| Topical term or geographic name as entry element |
Number Theory. |
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| Topical term or geographic name as entry element |
Algebraic Geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Goresky, Mark. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783034803502 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0348-0351-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
