Mixed Twistor D-modules
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
The first book on mixed twistor D-modules Forms a tentative foundation of generalized Hodge theory of holonomic D-modules Represents one of the final goals in the study of mixed twistor structures Includes supplementary material: sn.pub/extras
Autor*in
Takuro Mochizuki
Themen in »Mixed Twistor D-modules«
32C38,14F10. Functoriality Generalized Hodge theory Holonomic D-module Mixed twistor structure Twistor D-module