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 H...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Mochizuki, Takuro (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Lecture Notes in Mathematics,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-3-319-10088-3
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Table of 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.