Weight Filtrations on Log Crystalli - E-book

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Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Varieties - ENG

Yukiyoshi Nakkajima; Atsushi Shiho

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Sinopsis

ISBN:	9783540705659
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2008-09-08

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 KÃ¼nneth formula, the weight-filtered PoincarÃ© 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.

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