Weight filtrations on log crystalline cohomologies of families of open smooth varieties
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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.
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Weight filtrations on log crystalline cohomologies of families of open smooth varieties, Yukiyoshi Nakkajima
- Sprache
- Erscheinungsdatum
- 2008
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- Titel
- Weight filtrations on log crystalline cohomologies of families of open smooth varieties
- Sprache
- Englisch
- Autor*innen
- Yukiyoshi Nakkajima
- Verlag
- Springer
- Erscheinungsdatum
- 2008
- Einband
- Paperback
- ISBN10
- 3540705643
- ISBN13
- 9783540705642
- Reihe
- Lecture notes in mathematics
- Kategorie
- Mathematik
- Beschreibung
- 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.