Mixed Twistor D-modules

von Takuro Mochizuki

487 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Komplexe Analysis, komplexe Variablen, Funktionentheorie
• ISBN: 9783319100876
• Sprache: Englisch
• Erscheinungsdatum: 28.08.2015
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing