Lectures on introduction to moduli problems and orbit spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1978
|
| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
51 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 183 S. |
| ISBN: | 3540088512 0387088512 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116701810262016 |
|---|---|
| adam_text | CONTENTS
Preliminaries 1
Chapter 1 - The concept of moduli 15
§1 Families 16
§2 Moduli spaces 21
§3 Remarks 26
Chapter 2 - Endomorphisms of vector spaces 28
§1 Families of endomorphisms 28
§2 Semi-simple endomorphisms 31
§3 Cyclic endomorphisms 36
§4 Moduli and quotients 37
Chapter 3 - Quotients 42
§1 Actions of algebraic groups 42
§2 Proof of Theorem 3.4 52
§3 Affine quotients 61
§4 Projective quotients 70
§5 Linearisation 81
§6 Historical note 90
Chapter 4 - Examples 93
§1 Elementary examples 93
§2 A criterion for stability 101
§3 Binary forms 110
§4 Plane cubics 112
§5 N ordered points on a line 115
§6 Sequences of linear subspaces 119
vi
Chapter 5 Vector bundles over a curve 124
§1 Generalities and historical remarks 125
§2 Coherent sheaves over X 129
§3 Locally universal families for semi-stable bundles 133
§4 Construction of the quotient 141
§5 Existence of a fine moduli space 146
§6 Proof of Theorem 5.6 151
§7 Bundles over a singular curve 164
Bibliography 171
List of symbols 178
Index 180
|
| any_adam_object | 1 |
| author | Newstead, Peter E. 1941- |
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| ctrlnum | (OCoLC)21622314 (DE-599)BVBBV002245698 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:42:42Z |
| institution | BVB |
| isbn | 3540088512 0387088512 |
| language | English |
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| physical | VI, 183 S. |
| publishDate | 1978 |
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| publisher | Springer |
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| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Newstead, Peter E. 1941- Verfasser (DE-588)109483987 aut Lectures on introduction to moduli problems and orbit spaces by P. E. Newstead Berlin [u.a.] Springer 1978 VI, 183 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 51 Moduli theory Modul (DE-588)4129770-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Orbital-Räume gnd rswk-swf Modul (DE-588)4129770-2 s DE-604 Orbital-Räume f Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 51 (DE-604)BV000015654 51 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001475827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Newstead, Peter E. 1941- Lectures on introduction to moduli problems and orbit spaces Moduli theory Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4129770-2 (DE-588)4151278-9 |
| title | Lectures on introduction to moduli problems and orbit spaces |
| title_auth | Lectures on introduction to moduli problems and orbit spaces |
| title_exact_search | Lectures on introduction to moduli problems and orbit spaces |
| title_full | Lectures on introduction to moduli problems and orbit spaces by P. E. Newstead |
| title_fullStr | Lectures on introduction to moduli problems and orbit spaces by P. E. Newstead |
| title_full_unstemmed | Lectures on introduction to moduli problems and orbit spaces by P. E. Newstead |
| title_short | Lectures on introduction to moduli problems and orbit spaces |
| title_sort | lectures on introduction to moduli problems and orbit spaces |
| topic | Moduli theory Modul (DE-588)4129770-2 gnd |
| topic_facet | Moduli theory Modul Einführung Orbital-Räume |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001475827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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