Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties (Pb) at Meripustak

Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties (Pb)

Books from same Author: Nakkajima Y

Books from same Publisher: Springer

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  • General Information  
    Author(s)Nakkajima Y
    PublisherSpringer
    Edition2008 Edition
    ISBN9783540705642
    Pages272
    BindingSoftbound
    Publish YearNovember 2008

    Description

    Springer Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties (Pb) by Nakkajima Y

    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 Kunneth formula, the weight-filtered Poincare 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.