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Mixed Twistor D-modules [electronic resource] / by Takuro Mochizuki

Author
Mochizuki, Takuro
Published
Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition
1st ed. 2015.
Physical Description
XX, 487 p. online resource
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SpringerLink (Online service)
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Contents
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.
Summary
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.  .
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ISBN
9783319100883
9783319100876 (print)
Digital File Characteristics
text file PDF
Part Of
Springer eBooks
View MARC record | catkey: 18675725