On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | German |
| Published: |
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Weitere Ausgabe: Bonner mathematische Schriften ; 276 |
| Physical Description: | I, 37 S. |
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| 100 | 1 | |a Steinert, Bernd |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |c vorgelegt von Bernd Steinert |
| 264 | 1 | |c 1994 | |
| 300 | |a I, 37 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 500 | |a Weitere Ausgabe: Bonner mathematische Schriften ; 276 | ||
| 502 | |a Bonn, Univ., Diss. | ||
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Record in the Search Index
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| adam_text |
TABLE OF CONTENTS
INTRODUCTION . 1
0. GENERAL SETTING AND NOTATIONS . 5
1. HECKE OPERATORS IN A TOPOLOGICAL CONTEXT
. 7
1.1 GENERAL DEFINITION OF HECKE OPERATORS . 7
1.2 SPECIAL CASES . 8
1.3 INDUCED OPERATIONS ON BOUNDARY STRATA . 9
1.4 GROUP COHOMOLOGICAL FORMULATION . 11
2. HECKE ALGEBRAS . 12
2.1 LOCAL AND GLOBAL HECKE ALGEBRAS . 12
2.2 MAIN DIAGRAM: THE LEFT HAND SIDE . 14
3. HECKE OPERATORS ON THE INTEGRAL COHOMOLOGY
. 16
3.1 CORRECTION FACTORS . . 17
3.2 MAIN DIAGRAM: THE RIGHT HAND SIDE . 19
3.3 ADAPTED HECKE OPERATORS . 21
4. THE CASE OF THE SYMPLECTIC GROUP
. 23
4.1 FORMULATION OF MAIN RESULTS . 23
4.2 REDUCTION STEPS . 24
4.3 THE CASE GL
2
. 27
4.4 PROOF FOR THE BOREL STRATUM . 28
4.5 PROOF FOR THE MAXIMAL PARABOLIC SUBGROUPS . 32
4.6 EIGENVALUES ON THE FREE PART . 33
REFERENCES . 37
*
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BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/943670861 |
| any_adam_object | 1 |
| author | Steinert, Bernd |
| author_facet | Steinert, Bernd |
| author_role | aut |
| author_sort | Steinert, Bernd |
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| building | Verbundindex |
| bvnumber | BV010106860 |
| classification_rvk | SI 180 |
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| ctrlnum | (OCoLC)258086575 (DE-599)BVBBV010106860 |
| discipline | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-10-09T16:18:11Z |
| institution | BVB |
| language | German |
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| spelling | Steinert, Bernd Verfasser aut On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties vorgelegt von Bernd Steinert 1994 I, 37 S. txt rdacontent n rdamedia nc rdacarrier Weitere Ausgabe: Bonner mathematische Schriften ; 276 Bonn, Univ., Diss. Hecke-Operator (DE-588)4135665-2 gnd rswk-swf Kohomologiegruppe (DE-588)4164605-8 gnd rswk-swf Siegel-Modulform (DE-588)4129460-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Siegel-Modulform (DE-588)4129460-9 s Kohomologiegruppe (DE-588)4164605-8 s Hecke-Operator (DE-588)4135665-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006710543&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Steinert, Bernd On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties Hecke-Operator (DE-588)4135665-2 gnd Kohomologiegruppe (DE-588)4164605-8 gnd Siegel-Modulform (DE-588)4129460-9 gnd |
| subject_GND | (DE-588)4135665-2 (DE-588)4164605-8 (DE-588)4129460-9 (DE-588)4113937-9 |
| title | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |
| title_auth | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |
| title_exact_search | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |
| title_full | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties vorgelegt von Bernd Steinert |
| title_fullStr | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties vorgelegt von Bernd Steinert |
| title_full_unstemmed | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties vorgelegt von Bernd Steinert |
| title_short | On annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |
| title_sort | on annihilation of torsion in the cohomology of boundary strata of siegel modular varieties |
| topic | Hecke-Operator (DE-588)4135665-2 gnd Kohomologiegruppe (DE-588)4164605-8 gnd Siegel-Modulform (DE-588)4129460-9 gnd |
| topic_facet | Hecke-Operator Kohomologiegruppe Siegel-Modulform Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006710543&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT steinertbernd onannihilationoftorsioninthecohomologyofboundarystrataofsiegelmodularvarieties |