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150908 ||| eng |
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|a 9783319100883
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|a Mochizuki, Takuro
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|a Mixed Twistor D-modules
|h Elektronische Ressource
|c by Takuro Mochizuki
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|a 1st ed. 2015
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|a Cham
|b Springer International Publishing
|c 2015, 2015
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| 300 |
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|a XX, 487 p
|b online resource
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|a Introduction -- Preliminary -- Canonical prolongations -- Gluing and specialization of r-triples -- Gluing of good-KMS r-triples -- Preliminary for relative monodromy filtrations -- Mixed twistor D-modules -- Infinitesimal mixed twistor modules -- Admissible mixed twistor structure and variants -- Good mixed twistor D-modules -- Some basic property -- Dual and real structure of mixed twistor D-modules -- Derived category of algebraic mixed twistor D-modules -- Good systems of ramified irregular values
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|a Several Complex Variables and Analytic Spaces
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|a Algebraic Geometry
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|a Functions of complex variables
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|a Algebraic geometry
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|a eng
|2 ISO 639-2
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|b Springer
|a Springer eBooks 2005-
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|a Lecture Notes in Mathematics
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|a 10.1007/978-3-319-10088-3
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|u https://doi.org/10.1007/978-3-319-10088-3?nosfx=y
|x Verlag
|3 Volltext
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|a 515.94
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|a 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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