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Mixed Twistor D-Modules

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Mixed Twistor D-Modules Synopsis

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.

About This Edition

ISBN: 9783319100876
Publication date:
Author: Takuro Mochizuki
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 487 pages
Series: Lecture Notes in Mathematics
Genres: Complex analysis, complex variables
Algebraic geometry

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