Mixed Twistor D-modules - Takuro Mochizuki
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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. Sabb ... Täielik kirjeldus
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Kirjeldus
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.
Lisateave
| Autor | Takuro Mochizuki |
|---|---|
| Kirjastaja | Springer Nature Switzerland |
| Series | Lecture Notes in Mathematics |
| Väljalaskeaasta | 2015 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783319100876 |