Mixed Twistor D-modules

Mixed Twistor D-modules
Author :
Publisher : Springer
Total Pages : 497
Release :
ISBN-10 : 9783319100883
ISBN-13 : 3319100882
Rating : 4/5 (882 Downloads)

Book Synopsis Mixed Twistor D-modules by : Takuro Mochizuki

Download or read book Mixed Twistor D-modules written by Takuro Mochizuki and published by Springer. This book was released on 2015-08-19 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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