Weight filtrations on log crystalline cohomologies of families of open smooth varieties / / Yukiyoshi Nakkajima, Atsushi Shiho

• Autore: Nakkajima Yukiyoshi
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer-Verlag, , [2008]; ©2008
• Edizione: 1st ed. 2008.
• Descrizione fisica: 1 online resource (X, 272 p.)
• Disciplina: 512
• Soggetto topico: Varieties (Universal algebra); Filters (Mathematics)
• Persona (resp. second.): ShihoAtsushi
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).
• Sommario/riassunto: In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.
• Titolo autorizzato: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
• ISBN: 3-540-70565-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484410703321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 1959.