Articles liés à Weight Filtrations on Log Crystalline Cohomologies...

Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties (Lecture Notes in Mathematics) - Couverture souple

Nakkajima, Yukiyoshi

 
9783540705642: Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 3540705643 ISBN 13 : 9783540705642
Editeur : Springer, 2008

Synopsis

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p0, 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 p0.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p0, 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 p0.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
3540705643
ISBN 13 
9783540705642
Reliure
Broché
Nombre de pages
284
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