02338nam a2200325Ii 4500991002944109707536m o d cr cnu||||||||160712s2015 sz a ob 001 0 eng d9783319100883b14258067-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.3623AMS 32C38AMS 14F10Mochizuki, Takuro319920Mixed twistor D-modules[e-book] /Takuro MochizukiCham [Switzerland] :Springer,[2015]1 online resource (xx, 487 pages) :illustrationsLecture notes in mathematics,1617-9692 ;2125Includes bibliographical references and indexIntroduction -- Preliminary -- Canonical prolongations -- Gluing and specialization of r-triples -- Gluing of good-KMS r-triples -- Preliminary for relative monodromy filtrations -- Mixed twistor D-modules -- Infinitesimal mixed twistor modules -- Admissible mixed twistor structure and variants -- Good mixed twistor D-modules -- Some basic property -- Dual and real structure of mixed twistor D-modules -- Derived category of algebraic mixed twistor D-modules -- Good systems of ramified irregular valuesWe 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. ℗ℓD-moduleshttp://link.springer.com/book/10.1007/978-3-319-10088-3An electronic book accessible through the World Wide Web.b1425806703-03-2212-07-16991002944109707536Mixed twistor D-modules1387912UNISALENTOle01312-07-16m@ -engsz 00