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Mixed Twistor D-modules, Paperback / softback Book

Mixed Twistor D-modules Paperback / softback

Part of the Lecture Notes in Mathematics series

Paperback / softback

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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