Lectures on the structure of algebraic groups and geometric applications:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New Delhi
Hindustan Book Agency
2013
|
| Schriftenreihe: | CMI lecture series in mathematics
1 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | VIII, 120 S. |
| ISBN: | 9789380250465 |
Internformat
MARC
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| 020 | |a 9789380250465 |9 978-93-80250-46-5 | ||
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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 |
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| 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 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-026742329 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 147f 2015 A 2221 |
|---|---|
| DE-BY-TUM_katkey | 2110613 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040071482770 |
| _version_ | 1821934084586209280 |
| 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 |
| author_role | aut aut aut |
| author_sort | Brion, Michel |
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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 | 2024-12-20T16:44:20Z |
| institution | BVB |
| isbn | 9789380250465 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026742329 |
| oclc_num | 855557887 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-91G DE-BY-TUM |
| 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 |
| 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 |
| work_keys_str_mv | AT brionmichel lecturesonthestructureofalgebraicgroupsandgeometricapplications AT samuelpreena lecturesonthestructureofalgebraicgroupsandgeometricapplications AT umavikraman lecturesonthestructureofalgebraicgroupsandgeometricapplications |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 147f 2015 A 2221 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |