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portada Mixed Twistor D-Modules (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
2015
Language
English
Pages
512
Format
Paperback
ISBN13
9783319100876
Edition No.
1

Mixed Twistor D-Modules (Lecture Notes in Mathematics)

Takuro Mochizuki (Author) · Springer · Paperback

Mixed Twistor D-Modules (Lecture Notes in Mathematics) - Takuro Mochizuki

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Synopsis "Mixed Twistor D-Modules (Lecture Notes in Mathematics)"

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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