Lectures on the structure of algebraic groups and geometric applications:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Delhi
Hindustan Book Agency
2013
|
| Schriftenreihe: | CMI lecture series in mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 120 S. |
| ISBN: | 9789380250465 |
Internformat
MARC
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|---|---|---|---|
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| 020 | |a 9789380250465 |9 978-93-80250-46-5 | ||
| 035 | |a (OCoLC)855557887 | ||
| 035 | |a (DE-599)BSZ391333755 | ||
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| 041 | 0 | |a eng | |
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| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
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| 100 | 1 | |a Brion, Michel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on the structure of algebraic groups and geometric applications |c Michel Brion ; Preena Samuel ; V. Uma |
| 264 | 1 | |a New Delhi |b Hindustan Book Agency |c 2013 | |
| 300 | |a VIII, 120 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a CMI lecture series in mathematics |v 1 | |
| 650 | 0 | 7 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Geometrie |0 (DE-588)4020236-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |D s |
| 689 | 0 | 1 | |a Geometrie |0 (DE-588)4020236-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Samuel, Preena |e Verfasser |4 aut | |
| 700 | 1 | |a Uma, Vikraman |e Verfasser |4 aut | |
| 830 | 0 | |a CMI lecture series in mathematics |v 1 |w (DE-604)BV041370254 |9 1 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026742329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026742329 | ||
Datensatz im Suchindex
| _version_ | 1804151358643765248 |
|---|---|
| adam_text | Contents
Preface
v
1
Overview
1
1.1
Ghevalley s structure theorem
............ 2
1.2 Rosenlicht
decomposition
................ 4
1.3
Complete homogeneous varieties
........... 6
1.4
Anti-
affine
algebraic groups
............. 8
1.5
Homogeneous vector bundles
............. 10
1.6
Homogeneous principal bundles
........... 12
2
Proof of Chevalley s Theorem
17
2.1
Criteria for affineness
................. 18
2.2
Actions of abelian varieties
.............. 23
2.3
Rational actions of algebraic groups
......... 27
3
Applications and developments
35
3.1
Some applications
................... 35
3.2 Rosenlicht
decomposition
............... 41
4
Complete homogeneous varieties
47
4.1
Structure
....................... 48
4.2
Blanchard s lemma for group schemes
........ 50
4.3
Automorphisms
.................... 55
5 Anti-affine
groups
61
5.1
Characterizations
................... 61
5.2
Structure
....................... 64
5.3
Sembabelian varieties
................. 65
viii CONTENTS
5.4
Extensions
by vector groups
............. 68
5.5
Classification
.................■ . . . . 71
6
Homogeneous vector bundles
75
6.1
Principal bundles
............. ...... 76
6.2
Equivariant automorphisms
............. 80
6.3
Automorphisms of vector bundles
,......... 83
6.4
Structure
........................ 87
6.5
Mukai correspondence
................ 91
7
Homogeneous principal bundles
95
7.1
Structure
.............:......... 96
7.2
Characterizations
................... 100
7.3
Special classes of principal bundles
......... 105
Bibliography 111
Index
119
|
| any_adam_object | 1 |
| author | Brion, Michel Samuel, Preena Uma, Vikraman |
| author_facet | Brion, Michel Samuel, Preena Uma, Vikraman |
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| building | Verbundindex |
| bvnumber | BV041293376 |
| classification_rvk | SK 240 |
| classification_tum | MAT 174f |
| ctrlnum | (OCoLC)855557887 (DE-599)BSZ391333755 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV041293376 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:53:33Z |
| institution | BVB |
| isbn | 9789380250465 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026742329 |
| oclc_num | 855557887 |
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| owner_facet | DE-355 DE-BY-UBR DE-824 DE-91G DE-BY-TUM |
| physical | VIII, 120 S. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Hindustan Book Agency |
| record_format | marc |
| series | CMI lecture series in mathematics |
| series2 | CMI lecture series in mathematics |
| spelling | Brion, Michel Verfasser aut Lectures on the structure of algebraic groups and geometric applications Michel Brion ; Preena Samuel ; V. Uma New Delhi Hindustan Book Agency 2013 VIII, 120 S. txt rdacontent n rdamedia nc rdacarrier CMI lecture series in mathematics 1 Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 s Geometrie (DE-588)4020236-7 s DE-604 Samuel, Preena Verfasser aut Uma, Vikraman Verfasser aut CMI lecture series in mathematics 1 (DE-604)BV041370254 1 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026742329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brion, Michel Samuel, Preena Uma, Vikraman Lectures on the structure of algebraic groups and geometric applications CMI lecture series in mathematics Algebraische Gruppe (DE-588)4001164-1 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4001164-1 (DE-588)4020236-7 |
| title | Lectures on the structure of algebraic groups and geometric applications |
| title_auth | Lectures on the structure of algebraic groups and geometric applications |
| title_exact_search | Lectures on the structure of algebraic groups and geometric applications |
| title_full | Lectures on the structure of algebraic groups and geometric applications Michel Brion ; Preena Samuel ; V. Uma |
| title_fullStr | Lectures on the structure of algebraic groups and geometric applications Michel Brion ; Preena Samuel ; V. Uma |
| title_full_unstemmed | Lectures on the structure of algebraic groups and geometric applications Michel Brion ; Preena Samuel ; V. Uma |
| title_short | Lectures on the structure of algebraic groups and geometric applications |
| title_sort | lectures on the structure of algebraic groups and geometric applications |
| topic | Algebraische Gruppe (DE-588)4001164-1 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Algebraische Gruppe Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026742329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041370254 |
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