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Mixed Twistor D-modules

Mixed Twistor D-modules

Takuro Mochizuki

46,79 €
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Editorial:
Springer Nature B.V.
Año de edición:
2015
Materia
Cálculo y análisis matemático
ISBN:
9783319100876
46,79 €
IVA incluido
Disponible

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Sobre IBD

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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