Lectures on Frobenius splittings and B-modules:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1993
|
| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
84 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 98 S. |
| ISBN: | 3540566724 |
Internformat
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| 100 | 1 | |a Kallen, Wilberd van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on Frobenius splittings and B-modules |c by Wilberd van der Kallen |
| 246 | 1 | 3 | |a Frobenius splittings and B-modules |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1993 | |
| 300 | |a X, 98 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 84 | |
| 600 | 1 | 4 | |a Ramanathan, Annamalai |
| 650 | 7 | |a Groepen (wiskunde) |2 gtt | |
| 650 | 4 | |a Frobenius algebras | |
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 0 | 7 | |a Frobenius-Endomorphismus |0 (DE-588)4341728-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a B-Modul |0 (DE-588)4341727-9 |2 gnd |9 rswk-swf |
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| 810 | 2 | |a Mathematics |t Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics |v 84 |w (DE-604)BV000015654 |9 84 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006156727&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006156727 | ||
Datensatz im Suchindex
| _version_ | 1804123699710787584 |
|---|---|
| adam_text | Contents
Preface i
1 Preliminaries 1
1.1 Reductive Algebraic Groups 1
1.2 Demazure Desingularisation of G/B 5
2 B Module Theory 9
2.1 Frobenius Reciprocity 10
2.2 Joseph s Functors 13
2.3 Dual Joseph Modules 18
3 Polo s Theorem 22
3.1 Polo s Theorem 22
3.2 Cohomological Criterion 28
3.3 Relative Schubert Modules . 32
4 Donkin s Conjecture 33
4.1 Good Filtrations 34
4.2 Criterion for Good Filtrations 35
4.3 Frobenius Splittings 39
4.4 Donkin s Conjecture 45
5 Joseph s Conjecture 48
5.1 Double Schubert Varieties 48
5.2 Joseph s Conjecture 51
5.3 An Example 54
ix
6 Polo s Conjecture 56
6.1 Reformulating the Problem Repeatedly 56
6.2 The Proof of Polo s Conjecture 61
6.3 Variations and 0 ^stions 64
7 Other Base Rings 68
7.1 Over the Integers 68
7.2 Forms of the Modules 69
7.3 Passage to Characteristic 0 74
A Appendix on Geometry 75
A.I Frobenius Splitting of Varieties 75
A.2 Applications of Frobenius Splitting 79
A.3 Cartier Operators and Splittings 82
A.4 Splitting on the Demazure Resolution 84
A.5 Two Technical Results 88
Bibliography 90
Glossary of Notations 93
Index 96
|
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| indexdate | 2024-07-09T17:33:55Z |
| institution | BVB |
| isbn | 3540566724 |
| language | English |
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| physical | X, 98 S. |
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| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Kallen, Wilberd van der Verfasser aut Lectures on Frobenius splittings and B-modules by Wilberd van der Kallen Frobenius splittings and B-modules Berlin u.a. Springer 1993 X, 98 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 84 Ramanathan, Annamalai Groepen (wiskunde) gtt Frobenius algebras Linear algebraic groups Modules (Algebra) Frobenius-Endomorphismus (DE-588)4341728-0 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf B-Modul (DE-588)4341727-9 gnd rswk-swf B-Modul (DE-588)4341727-9 s DE-604 Frobenius-Endomorphismus (DE-588)4341728-0 s Darstellungstheorie (DE-588)4148816-7 s DE-188 Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 84 (DE-604)BV000015654 84 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006156727&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kallen, Wilberd van der Lectures on Frobenius splittings and B-modules Ramanathan, Annamalai Groepen (wiskunde) gtt Frobenius algebras Linear algebraic groups Modules (Algebra) Frobenius-Endomorphismus (DE-588)4341728-0 gnd Darstellungstheorie (DE-588)4148816-7 gnd B-Modul (DE-588)4341727-9 gnd |
| subject_GND | (DE-588)4341728-0 (DE-588)4148816-7 (DE-588)4341727-9 |
| title | Lectures on Frobenius splittings and B-modules |
| title_alt | Frobenius splittings and B-modules |
| title_auth | Lectures on Frobenius splittings and B-modules |
| title_exact_search | Lectures on Frobenius splittings and B-modules |
| title_full | Lectures on Frobenius splittings and B-modules by Wilberd van der Kallen |
| title_fullStr | Lectures on Frobenius splittings and B-modules by Wilberd van der Kallen |
| title_full_unstemmed | Lectures on Frobenius splittings and B-modules by Wilberd van der Kallen |
| title_short | Lectures on Frobenius splittings and B-modules |
| title_sort | lectures on frobenius splittings and b modules |
| topic | Ramanathan, Annamalai Groepen (wiskunde) gtt Frobenius algebras Linear algebraic groups Modules (Algebra) Frobenius-Endomorphismus (DE-588)4341728-0 gnd Darstellungstheorie (DE-588)4148816-7 gnd B-Modul (DE-588)4341727-9 gnd |
| topic_facet | Ramanathan, Annamalai Groepen (wiskunde) Frobenius algebras Linear algebraic groups Modules (Algebra) Frobenius-Endomorphismus Darstellungstheorie B-Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006156727&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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