02879nam 2200613 450 991048441070332120220820114858.03-540-70565-110.1007/978-3-540-70565-9(CKB)1000000000437220(SSID)ssj0000447046(PQKBManifestationID)11308437(PQKBTitleCode)TC0000447046(PQKBWorkID)10524126(PQKB)10134794(DE-He213)978-3-540-70565-9(MiAaPQ)EBC3063282(MiAaPQ)EBC6819237(Au-PeEL)EBL6819237(OCoLC)288565660(PPN)129061697(EXLCZ)99100000000043722020220820d2008 uy 0engurnn|008mamaatxtccrWeight filtrations on log crystalline cohomologies of families of open smooth varieties /Yukiyoshi Nakkajima, Atsushi Shiho1st ed. 2008.Berlin ;Heidelberg :Springer-Verlag,[2008]©20081 online resource (X, 272 p.) Lecture Notes in Mathematics ;Volume 1959Bibliographic Level Mode of Issuance: Monograph3-540-70564-3 Includes bibliographical references and index.Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).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.Lecture notes in mathematics (Springer-Verlag) ;Volume 1959.Varieties (Universal algebra)Filters (Mathematics)Varieties (Universal algebra)Filters (Mathematics)512Nakkajima Yukiyoshi315798Shiho AtsushiMiAaPQMiAaPQMiAaPQBOOK9910484410703321Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties2569870UNINA