Mixed automorphic forms, torus bundles, and Jacobi forms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Lecture notes in mathematics
1845 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 239 S. |
| ISBN: | 3540219226 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mixed automorphic forms, torus bundles, and Jacobi forms |c Min Ho Lee |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
1 Mixed Automorphic Forms 11
1.1 Mixed Automorphic Forms of One Variable 12
1.2 Eisenstein Series and Poincare Series 16
1.3 Cusp Forms Associated to Mixed Cusp Forms 23
1.4 Mixed Automorphic Forms and Differential Equations 29
2 Line Bundles and Elliptic Varieties 35
2.1 Mixed Cusp Forms and Line Bundles 36
2.2 Elliptic Varieties 41
2.3 Modular Symbols 44
2.4 Eichler Shimura Relations 52
3 Mixed Automorphic Forms and Cohomology 59
3.1 Mixed Cusp Forms and Parabolic Cohomology 60
3.2 Pairings on Mixed Cusp Forms 64
3.3 Hodge Structures 71
3.4 The Kronecker Pairing 79
4 Mixed Hilbert and Siegel Modular Forms 83
4.1 Mixed Hilbert Modular Forms 84
4.2 Families of Abelian Varieties over Hilbert Modular Varieties . 89
4.3 Mixed Siegel Modular Forms 94
4.4 Fourier Coefficients of Siegel Modular Forms 99
5 Mixed Automorphic Forms on Semisimple Lie Groups .... 109
5.1 Mixed Automorphic Forms on Symmetric Domains 110
5.2 Mixed Automorphic Forms on Semisimple Lie Groups 113
5.3 Eisenstein Series 119
5.4 Whittaker Vectors 125
5.5 Fourier Coefficients of Eisenstein Series 133
X Contents
6 Families of Abelian Varieties 141
6.1 Kuga Fiber Varieties 142
6.2 Automorphy Factors and Kernel Functions 151
6.3 Mixed Automorphic Forms and Kuga Fiber Varieties 161
6.4 Embeddings of Kuga Fiber Varieties 164
7 Jacobi Forms 177
7.1 Jacobi Forms on Symmetric Domains 178
7.2 Fock Representations 185
7.3 Theta Functions 194
7.4 Vector Valued Jacobi Forms 201
8 Twisted Torus Bundles 209
8.1 Two Cocycles of Discrete Groups 210
8.2 One Cochains Associated to 2 Cocycles 213
8.3 Families of Torus Bundles 217
8.4 Cohomology 222
References 231
Index 237
|
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| discipline | Maschinenbau / Maschinenwesen Mathematik |
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| indexdate | 2024-07-09T19:58:19Z |
| institution | BVB |
| isbn | 3540219226 |
| language | English |
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| physical | X, 239 S. |
| publishDate | 2004 |
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| series2 | Lecture notes in mathematics |
| spelling | Lee, Min Ho Verfasser aut Mixed automorphic forms, torus bundles, and Jacobi forms Min Ho Lee Berlin [u.a.] Springer 2004 X, 239 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1845 Automorphe Form Automorphic forms Forms (Mathematics) Jacobi forms Torus (Geometry) Automorphe Form (DE-588)4003972-9 gnd rswk-swf Automorphe Form (DE-588)4003972-9 s DE-604 Lecture notes in mathematics 1845 (DE-604)BV000676446 1845 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012817159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lee, Min Ho Mixed automorphic forms, torus bundles, and Jacobi forms Lecture notes in mathematics Automorphe Form Automorphic forms Forms (Mathematics) Jacobi forms Torus (Geometry) Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4003972-9 |
| title | Mixed automorphic forms, torus bundles, and Jacobi forms |
| title_auth | Mixed automorphic forms, torus bundles, and Jacobi forms |
| title_exact_search | Mixed automorphic forms, torus bundles, and Jacobi forms |
| title_full | Mixed automorphic forms, torus bundles, and Jacobi forms Min Ho Lee |
| title_fullStr | Mixed automorphic forms, torus bundles, and Jacobi forms Min Ho Lee |
| title_full_unstemmed | Mixed automorphic forms, torus bundles, and Jacobi forms Min Ho Lee |
| title_short | Mixed automorphic forms, torus bundles, and Jacobi forms |
| title_sort | mixed automorphic forms torus bundles and jacobi forms |
| topic | Automorphe Form Automorphic forms Forms (Mathematics) Jacobi forms Torus (Geometry) Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Automorphe Form Automorphic forms Forms (Mathematics) Jacobi forms Torus (Geometry) |
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