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Mixed Twistor D-modules

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eBook details

  • Title: Mixed Twistor D-modules
  • Author : Takuro Mochizuki
  • Release Date : January 19, 2015
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 19611 KB

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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