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Mixed Twistor D-Modules

Mixed Twistor D-Modules

Paperback

Series: Lecture Notes in Mathematics, Book 2125

General MathematicsGeometry

ISBN10: 3319100874
ISBN13: 9783319100876
Publisher: Springer Nature
Published: Aug 28 2015
Pages: 487
Weight: 1.56
Height: 1.03 Width: 6.14 Depth: 9.21
Language: English
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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Geometry