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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. 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.
Autorius: | Takuro Mochizuki |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Nature Switzerland |
Išleidimo metai: | 2015 |
Knygos puslapių skaičius: | 512 |
ISBN-10: | 3319100874 |
ISBN-13: | 9783319100876 |
Formatas: | 235 x 155 x 28 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
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