Lecture Notes in Mathematics

Mochizuki, Takuro

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.

Details

Published by: Springer

Publication Date: 2015-08-28

Format: Paperback

ISBN-13: 9783319100876

DOI: 10.1007/978-3-319-10088-3

Dimensions: 235cm x155cm

Pages: 487