Polarizable twistor D-modules
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| Sprache: | English |
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Société Mathématique de France
2005
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| Schriftenreihe: | Astérisque
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| 245 | 1 | 0 | |a Polarizable twistor D-modules |c Claude Sabbah |
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Datensatz im Suchindex
| _version_ | 1804133546021879808 |
|---|---|
| adam_text | Titel: Polarizable twistor D-modules
Autor: Sabbah, Claude
Jahr: 2005
CONTENTS
Introduction .................................................................. 1
0. Preliminaries .............................................................. 11
1. Coherent and holonomic .^r-modules ................................. 19
1.1. Coherent and good «^j»r-modulcs ................................................................................19
1.2. The involutivity theorem ................................................................................................20
1.3. Examples ......................................................................................................................23
1.4. Direct and inverse images of ^.^.-modules ............................................................25
1.5. Sesquilincar pairings on £%%-modules ......................................................................29
l.G. The category .S* -Triples(A) ..........................................................................................31
2. Smooth twistor structures ............................................... 39
2.1. Twistor structures in dimension 0 ....................................... 39
2.2. Smooth twistor structures in arbitrary dimension ....................... 47
3. Specializable ^^--modules ..............................................................................................55
3.1. E-filtrations ..........................................................................................................................55
3.2. Review on specializable 0;r-modulos ........................................................................64
3.3. The category t) ....................................................................................................6G
3.4. Localization and minimal extension across a hypersurface ..............................81
3.5. Strictly S(upport)-decomposable .^/r-modules ....................................................84
3.G. Specialization of a sesquilincar pairing ....................................................................87
3.7. Noncharacteristic inverse image ..................................................................................98
3.8. A local computation .....................................................103
4. Polarizable twistor ^-modules ..........................................107
4.1. Definition of a twistor ^-module ........................................107
4.2. Polarization.............................................................117
vi CONTENTS
5. Polarizable regular twistor ^-modules on curves .....................123
5.1. A basic example .........................................................1^3
5.2. Review of some results of C. Simpson and O.Biquard ...................128
5.3. Proof of Theorem 5.0.1, first part .......................................132
5.4. Proof of Theorem 5.0.1, second part .....................................145
5.A. Mcllin transform and asymptotic expansions ............................149
5.13. Some results of O.Biquard ..............................................151
6. The decomposition theorem
for polarizable regular twistor ^-modules ...................155
6.1. Statement of the main results and proof of the Main Theorems .........155
6.2. Proof of (G.l.l)(10) when Supp is smooth ............................156
6.3. Proof of (6.1.1)(ri m} = (6.1.1){li+l m+1) .................................170
6.4. Proof of (6.1.1)(^(n_1} 0) and ((6.1.1)(10} with Supp smooth) =
(6.1 T)(Tl(o) for 3s 1 ....................................................171
6.5. Proof of Theorem 6.1.3 ..................................................1 4
7. Integrability ...............................................................I77
7.1. Intcgrablc ^br-modules and integrable triples ...........................177
7.2. Integrable smooth twistor structures ....................................181
7.3. Integrability and specialization ..........................................185
7.4. Integrable polarizable regular twistor ^-modules ........................188
Appendix. Monodromy at infinity and
partial Fourier Laplace transform ............................191
A.l. Exponential twist .......................................................191
A.2. Partial Fourier-Laplace transform of /^--modules ......................193
A.3. Partial Fourier-Laplace transform and specialization ....................197
A.4. Partial Fourier-Laplace transform of regular twistor f^-modules ........198
Bibliography ..................................................................201
Notation ......................................................................207
|
| any_adam_object | 1 |
| author | Sabbah, Claude 1954- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 832 SK 780 |
| ctrlnum | (OCoLC)61307926 (DE-599)BVBBV019997010 |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:10:26Z |
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| isbn | 2856291740 9782856291740 |
| language | English |
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| oclc_num | 61307926 |
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| physical | VI, 208 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
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| publisher | Société Mathématique de France |
| record_format | marc |
| series | Astérisque |
| series2 | Astérisque |
| spelling | Sabbah, Claude 1954- Verfasser (DE-588)141260785 aut Polarizable twistor D-modules Claude Sabbah Paris Société Mathématique de France 2005 VI, 208 S. txt rdacontent n rdamedia nc rdacarrier Astérisque 300 D-modules Matemática larpcal Singularidades (geometria algébrica) larpcal Torseurs, Théorie des Twistoren theorie gtt Variedades complexas larpcal Álgebra larpcal Twistor theory D-Modul (DE-588)4305548-5 gnd rswk-swf Twistor (DE-588)4186504-2 gnd rswk-swf Twistor (DE-588)4186504-2 s D-Modul (DE-588)4305548-5 s DE-604 Astérisque 300 (DE-604)BV002579439 300 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013318807&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sabbah, Claude 1954- Polarizable twistor D-modules Astérisque D-modules Matemática larpcal Singularidades (geometria algébrica) larpcal Torseurs, Théorie des Twistoren theorie gtt Variedades complexas larpcal Álgebra larpcal Twistor theory D-Modul (DE-588)4305548-5 gnd Twistor (DE-588)4186504-2 gnd |
| subject_GND | (DE-588)4305548-5 (DE-588)4186504-2 |
| title | Polarizable twistor D-modules |
| title_auth | Polarizable twistor D-modules |
| title_exact_search | Polarizable twistor D-modules |
| title_full | Polarizable twistor D-modules Claude Sabbah |
| title_fullStr | Polarizable twistor D-modules Claude Sabbah |
| title_full_unstemmed | Polarizable twistor D-modules Claude Sabbah |
| title_short | Polarizable twistor D-modules |
| title_sort | polarizable twistor d modules |
| topic | D-modules Matemática larpcal Singularidades (geometria algébrica) larpcal Torseurs, Théorie des Twistoren theorie gtt Variedades complexas larpcal Álgebra larpcal Twistor theory D-Modul (DE-588)4305548-5 gnd Twistor (DE-588)4186504-2 gnd |
| topic_facet | D-modules Matemática Singularidades (geometria algébrica) Torseurs, Théorie des Twistoren theorie Variedades complexas Álgebra Twistor theory D-Modul Twistor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013318807&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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