Mixed Twistor D-modules
(Sprache: Englisch)
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...
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Klappentext zu „Mixed Twistor D-modules “
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.
Inhaltsverzeichnis zu „Mixed Twistor D-modules “
- 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
Bibliographische Angaben
- Autor: Takuro Mochizuki
- 2015, 1st ed. 2015, XX, 487 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319100874
- ISBN-13: 9783319100876
- Erscheinungsdatum: 28.08.2015
Sprache:
Englisch
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