Takuro Mochizuki

Mixed Twistor D-modules

• Broschiertes Buch

Produktbeschreibung

We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.

Produktdetails

• Lecture Notes in Mathematics 2125
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 86374659, 978-3-319-10087-6
• 1st ed. 2015
• Seitenzahl: 512
• Erscheinungstermin: 28. August 2015
• Englisch
• Abmessung: 235mm x 155mm x 28mm
• Gewicht: 768g
• ISBN-13: 9783319100876
• ISBN-10: 3319100874
• Artikelnr.: 41158913

Inhaltsangabe

Introduction.- Preliminary.- Canonical prolongations.- Gluing and specialization of r-triples.- Gluing of good-KMS r-triples.- Preliminary for relative monodromy filtrations.- Mixed twistor D-modules.- Infinitesimal mixed twistor modules.- Admissible mixed twistor structure and variants.- Good mixed twistor D-modules.- Some basic property.- Dual and real structure of mixed twistor D-modules.- Derived category of algebraic mixed twistor D-modules.- Good systems of ramified irregular values.