Mixed Twistor D-modules

Takuro Mochizuki (Autor)

Buch | Softcover

XX, 487 Seiten

2015 | 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-10087-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	28.8.2015
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XX, 487 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	32C38,14F10. • Functoriality • Generalized Hodge theory • Holonomic D-module • Mixed twistor structure • Twistor D-module
ISBN-10	3-319-10087-4 / 3319100874
ISBN-13	978-3-319-10087-6 / 9783319100876
Zustand	Neuware