TY - BOOK ID - 218118 TI - Weight filtrations on log crystalline cohomologies of families of open smooth varieties AU - Nakkajima, Yukiyoshi AU - Shiho, Atsushi PY - 2008 SN - 3540705651 3540705643 PB - Berlin ; Heidelberg : Springer-Verlag, DB - UniCat KW - Filters (Mathematics) KW - Varieties (Universal algebra) KW - Algebras, Varieties of KW - Classes, Equational KW - Equational classes KW - Varieties of algebras KW - Variety (Universal algebra) KW - Algebra, Universal KW - Mathematics KW - Geometry, algebraic. KW - Algebra. KW - Algebraic Geometry. KW - Commutative Rings and Algebras. KW - Mathematical analysis KW - Algebraic geometry KW - Geometry KW - Algebraic geometry. KW - Commutative algebra. KW - Commutative rings. KW - Rings (Algebra) KW - Algebra UR - https://www.unicat.be/uniCat?func=search&query=sysid:218118 AB - 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. ER -