Mixed twistor D-modules [e-book] / Takuro Mochizuki

• Autore: Mochizuki, Takuro
• Pubblicazione: Cham [Switzerland] : Springer, [2015]
• Descrizione fisica: 1 online resource (xx, 487 pages) : illustrations
• 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: 9783319100883
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991002944109707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/book/10.1007/978-3-319-10088-3
• Serie: Lecture notes in mathematics, 1617-9692 ; 2125