LEADER 02879nam 2200613 450 001 9910484410703321 005 20220820114858.0 010 $a3-540-70565-1 024 7 $a10.1007/978-3-540-70565-9 035 $a(CKB)1000000000437220 035 $a(SSID)ssj0000447046 035 $a(PQKBManifestationID)11308437 035 $a(PQKBTitleCode)TC0000447046 035 $a(PQKBWorkID)10524126 035 $a(PQKB)10134794 035 $a(DE-He213)978-3-540-70565-9 035 $a(MiAaPQ)EBC3063282 035 $a(MiAaPQ)EBC6819237 035 $a(Au-PeEL)EBL6819237 035 $a(OCoLC)288565660 035 $a(PPN)129061697 035 $a(EXLCZ)991000000000437220 100 $a20220820d2008 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aWeight filtrations on log crystalline cohomologies of families of open smooth varieties /$fYukiyoshi Nakkajima, Atsushi Shiho 205 $a1st ed. 2008. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[2008] 210 4$d©2008 215 $a1 online resource (X, 272 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1959 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-70564-3 320 $aIncludes bibliographical references and index. 327 $aPreliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary). 330 $aIn this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1959. 606 $aVarieties (Universal algebra) 606 $aFilters (Mathematics) 615 0$aVarieties (Universal algebra) 615 0$aFilters (Mathematics) 676 $a512 700 $aNakkajima$b Yukiyoshi$0315798 702 $aShiho$b Atsushi 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484410703321 996 $aWeight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties$92569870 997 $aUNINA