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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Mixed Twistor D-modules
• Author: Takuro Mochizuki
• Language: English
• Binding: Paperback
• Number of pages: 487
• EAN: 9783319100876
• ISBN: 3319100874
• ID: 05267072
• Publisher: Springer International Publishing AG
• Weight: 7664 g
• Dimensions: 26 × 155 × 28 mm
• Date of publishing: 20. August 2015

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