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Mixed twistor D-modules

Mochizuki, Takuro.

Mixed twistor D-modules

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mixed twistor D-modulesby Takuro Mochizuki.
Author:	Mochizuki, Takuro.
Published:	Cham :Springer International Publishing :2015.
Description:	xx, 487 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	D-modules.
Online resource:	http://dx.doi.org/10.1007/978-3-319-10088-3
ISBN:	9783319100883$q(electronic bk.)

Mixed twistor D-modules
Mochizuki, Takuro.

Mixed twistor D-modules[electronic resource] /by Takuro Mochizuki. - Cham :Springer International Publishing :2015. - xx, 487 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21250075-8434 ;. - Lecture notes in mathematics ;2035..

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.

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.

ISBN: 9783319100883$q(electronic bk.)

Standard No.: 10.1007/978-3-319-10088-3doiSubjects--Topical Terms:

274823
D-modules.

LC Class. No.: QA614.3 / .M63 2015

Dewey Class. No.: 516.36

Mixed twistor D-modules
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245 1 0 $a Mixed twistor D-modules $h [electronic resource] / $c by Takuro Mochizuki.
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490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2125
505 0 $a 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.
520 $a 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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950 $a Mathematics and Statistics (Springer-11649)