東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Mixed twistor D-modules

Mochizuki, Takuro.

Linked to FindBook

Google Book

Amazon

博客來

Mixed twistor D-modules

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mixed twistor D-modules/ by Takuro Mochizuki.
Author:	Mochizuki, Takuro.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xx, 487 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	D-modules. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-10088-3
ISBN:	9783319100883

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 ;2046..

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

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

701574
D-modules.

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

Dewey Class. No.: 516.36

Mixed twistor D-modules
LDR:02153nmm a2200325 a 4500 001 2011107
003 DE-He213
005 20160303154740.0
006 m d
007 cr nn 008maaau
008 160417s2015 gw s 0 eng d
020 $a 9783319100883 $q (electronic bk.)
020 $a 9783319100876 $q (paper)
024 7 $a 10.1007/978-3-319-10088-3 $2 doi
035 $a 978-3-319-10088-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.3 $b .M63 2015
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 516.36 $2 23
090 $a QA614.3 $b .M688 2015
100 1 $a Mochizuki, Takuro. $3 1005893
245 1 0 $a Mixed twistor D-modules $h [electronic resource] / $c by Takuro Mochizuki.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xx, 487 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a D-modules. $3 701574
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Algebraic Geometry. $3 893861
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2046. $3 1534285
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-10088-3
950 $a Mathematics and Statistics (Springer-11649)