Mixed twistor d-modules /

Mixed twistor d-modules /

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Bibliographic Details
Author / Creator:	Mochizuki, Takuro, 1972- author.
Imprint:	Cham : Springer, [2015]
Description:	1 online resource (xx, 487 pages) : illustrations
Language:	English
Series:	Lecture notes in mathematics, 1617-9692 ; 2125 Lecture notes in mathematics (Springer-Verlag) ; 2125.
Subject:	D-modules. D-modules.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11095822

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Other authors / contributors:	SpringerLink (Online service)
ISBN:	9783319100883 3319100882 9783319100876 3319100874
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Description based on online resource; title from PDF title page (SpringerLink, viewed Aug. 25, 2015)
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. ℗ℓ.
Other form:	Printed edition: 9783319100876
Standard no.:	10.1007/978-3-319-10088-3

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.