Irregular Hodge theory

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1. Verfasser: Sabbah, Claude 1954- (VerfasserIn)
Weitere Verfasser: Yu, Jeng-Daw (MitwirkendeR)
Format: Buch
Sprache:English
Veröffentlicht: Paris Société Mathématique de France [2018]
Schriftenreihe:Mémoires de la Société Mathématique de France. Nouvelle série numéro 156
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adam_text CONTENTS Introduction ................................................................................................................ 1 equivalent presentation of integrable mixed twistor modules A review of twistor structures in dimension zero ......................................... Presentation of the results in Chapter 1 ....................................................... The category LMTMint(X) ............................................................................... Proof of Theorem 1.25 ...................................................................................... Real and good k-structures ............................................................................. Exponential twist .............................................................................................. Applications of the compatibility between the functors .............................. 9 9 17 21 32 38 39 42 2. Irregular mixed Hodge modules .................................................................... 2.1. Introduction to Chapter 2 ................................................................................ 2.2. Rescaling an integrable ^-triple ..................................................................... 2.3. Well-rescalable integrable ^֊triples ................................................................ 2.4. Irregular mixed Hodge modules ...................................................................... 2.5. Rigid irreducible holonomie -modules ..................................................... 51 51 52 59 69 77 1. An 1.1. 1.2. 1.3. 1.4. 1.5. 1.6. 1.7. 3. Irregular mixed Hodge structures In collaboration with Jeng-Daw Yu ........................................................................ 81 3.1. Introduction to Chapter 3 ................................................................................ 81 3.2. Connections with a pole of order two ............................................................ 82 3.3. Irregular mixed Hodge structures ................................................................... 95 3.4. Application to Kiinneth and Thom-Sebastiani formulas ............................ 98 3.5. Finite group actions and alternating products .............................................. 105 3.6. Exponential mixed Hodge structures and irregular Hodge structures .... 110 Appendix ............................................... 113 A.l. Base change theorems in thecomplex analyticsetting .................................113 A.2. Compatibility between duality and external product .................................. 115 Bibliography ................................................................................................................. 117 Index of notation ........................................................................................................ 123 Index ............................................................................................................................... 125
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series Mémoires de la Société Mathématique de France. Nouvelle série
series2 Mémoires de la Société Mathématique de France. Nouvelle série
spellingShingle Sabbah, Claude 1954-
Irregular Hodge theory
Mémoires de la Société Mathématique de France. Nouvelle série
title Irregular Hodge theory
title_auth Irregular Hodge theory
title_exact_search Irregular Hodge theory
title_full Irregular Hodge theory Claude Sabbah with the collaboration of Jeng-Daw Yu
title_fullStr Irregular Hodge theory Claude Sabbah with the collaboration of Jeng-Daw Yu
title_full_unstemmed Irregular Hodge theory Claude Sabbah with the collaboration of Jeng-Daw Yu
title_short Irregular Hodge theory
title_sort irregular hodge theory
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030602445&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000000921
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