Mixed Twistor D-modules
Author:   Takuro Mochizuki
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2015
Volume:   2125
ISBN:  

9783319100876


Pages:   487
Publication Date:   28 August 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Mixed Twistor D-modules


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Overview

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.

Full Product Details

Author:   Takuro Mochizuki
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2015
Volume:   2125
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   7.664kg
ISBN:  

9783319100876


ISBN 10:   3319100874
Pages:   487
Publication Date:   28 August 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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