ENGLISH

Mixed Twistor D-modules

By Takuro Mochizuki (auth.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-10087-6, 978-3-319-10088-3
DOI
10.1007/978-3-319-10088-3
Language
english
Format
PDF
Filesize
10 MB (10970542 bytes)
Series
Lecture Notes in Mathematics 2125
Edition
1
Pages
XX, 487\497
Time added
2015-11-25 16:51:03
Several Complex Variables and Analytic Spaces; Alg

Description

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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