Mixed twistor D-modules / Takuro Mochizuki

• Autore: Mochizuki, Takuro
• Pubblicazione: Cham [Switzerland] : Springer, c2015
• Descrizione fisica: xx, 487 p. : ill. ; 24 cm
• Disciplina: 516.36
• Soggetto topico: D-modules
• Classificazione: AMS 32C38; AMS 14F10
• Nota di bibliografia: Includes bibliographical references and index
• Nota di contenuto: Introduction -- 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 values
• Sommario/riassunto: 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. ℗ℓ
• ISBN: 9783319100876
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991002944169707536
• Lo trovi qui: Univ. del Salento
• Serie: Lecture notes in mathematics, 0075-8434 ; 2125