Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties

von Yukiyoshi Nakkajima, Atsushi Shiho

272 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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 E
2
-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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540705642
• Sprache: Englisch
• Erscheinungsdatum: 15.09.2008
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin