Representations of fundamental groups of algebraic varieties:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
1999
|
| Series: | Lecture notes in mathematics
1708 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 135 S. |
| ISBN: | 3540663126 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
1 Introduction j
2 Preliminaries 10
2.1 Review of Algebraic groups over arbitrary fields 10
2.2 Representations of fundamental groups and Moduli spaces . . 12
2.3 p—adic norm on a vector space and Bruhat Tits buildings ... 20
3 Harmonic metrics on flat vector bundles 25
3.1 Pluriharmonic maps of finite energy 25
3.2 Pluriharmonic maps of possibly infinite energy but with con¬
trolled growth at infinity 41
4 Non abelian Hodge theory, factorization theorems for non rigid or
p adic unbounded representations 52
4.1 Higgs bundles for archimedean representations and equivari
ant holomorphic 1 forms for p—adic representations 52
4.2 Albanese maps and a Lefschetz type theorem for holomorphic
1 forms 63
4.3 Factorizations for nonrigid representations into almost simple
complex algebraic groups 83
4.4 Factorizations for p adic unbounded representations into al¬
most simple p adic algebraic groups 97
4.5 Simpson s construction of families of nonrigid representations 101
5 Shafarevich maps for representations of fundamental groups, Kodaira
dimension and Chern hyperbolicity of Shafarevich varieties 104
5.1 Shafarevich maps and general discussions 104
5.2 Constructing automorphic forms via equivariant pluriharmonic
maps into Bruhat Tits building Ill
VIII
5.3 Kodaira dimension and Chern hyperbolicity of Shafarevich va¬
rieties 113
5.4 A finiteness property of representations of fundamental groups
of algebraic surfaces, which contain configurations of rational
curves 119
Reference 125
Index 133
|
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| author | Zuo, Kang |
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| ctrlnum | (OCoLC)247082981 (DE-599)BVBBV012839084 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| id | DE-604.BV012839084 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:34:37Z |
| institution | BVB |
| isbn | 3540663126 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008736219 |
| oclc_num | 247082981 |
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| physical | VIII, 135 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Zuo, Kang Verfasser aut Representations of fundamental groups of algebraic varieties Kang Zuo Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 1999 VIII, 135 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1708 Algebraische Varietät - Fundamentalgruppe - Darstellungstheorie Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Fundamentalgruppe (DE-588)4155638-0 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 s Algebraische Varietät (DE-588)4581715-7 s DE-604 Fundamentalgruppe (DE-588)4155638-0 s Darstellungstheorie (DE-588)4148816-7 s Lecture notes in mathematics 1708 (DE-604)BV000676446 1708 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008736219&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zuo, Kang Representations of fundamental groups of algebraic varieties Lecture notes in mathematics Algebraische Varietät - Fundamentalgruppe - Darstellungstheorie Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Gruppe (DE-588)4001164-1 gnd Fundamentalgruppe (DE-588)4155638-0 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4001164-1 (DE-588)4155638-0 (DE-588)4581715-7 |
| title | Representations of fundamental groups of algebraic varieties |
| title_auth | Representations of fundamental groups of algebraic varieties |
| title_exact_search | Representations of fundamental groups of algebraic varieties |
| title_full | Representations of fundamental groups of algebraic varieties Kang Zuo |
| title_fullStr | Representations of fundamental groups of algebraic varieties Kang Zuo |
| title_full_unstemmed | Representations of fundamental groups of algebraic varieties Kang Zuo |
| title_short | Representations of fundamental groups of algebraic varieties |
| title_sort | representations of fundamental groups of algebraic varieties |
| topic | Algebraische Varietät - Fundamentalgruppe - Darstellungstheorie Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Gruppe (DE-588)4001164-1 gnd Fundamentalgruppe (DE-588)4155638-0 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| topic_facet | Algebraische Varietät - Fundamentalgruppe - Darstellungstheorie Darstellungstheorie Algebraische Gruppe Fundamentalgruppe Algebraische Varietät |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008736219&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT zuokang representationsoffundamentalgroupsofalgebraicvarieties |