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Lecture Notes in Mathematics Ser.: Mixed Twistor D-Modules by Takuro Mochizuki (2015, Trade Paperback)

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About this product

Product Identifiers

PublisherSpringer International Publishing A&G

ISBN-103319100874

ISBN-139783319100876

eBay Product ID (ePID)202542840

Product Key Features

Number of PagesXx, 487 Pages

Publication NameMixed Twistor D-Modules

LanguageEnglish

Publication Year2015

SubjectGeneral, Geometry / Algebraic, Mathematical Analysis

TypeTextbook

AuthorTakuro Mochizuki

Subject AreaMathematics

SeriesLecture Notes in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight270.3 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

Dewey Edition23

Series Volume Number2125

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal512.42

Table Of ContentIntroduction.- 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.

SynopsisIntroduction.- 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.

LC Classification NumberQA331.7