Mémoires de la Société mathématique de France, n° 130-131. Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0

Mémoires de la Société mathématique de France, n° 130-131. Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0

Mémoires de la Société mathématique de France, n° 130-131. Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0
2013ISBN 9782856293768
Format: BrochéLangue : Anglais

We construct a theory of weights on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p > 0 by using the log crystalline cohomology of a split proper hypercovering of

the scheme. We also calculate the slope filtration on the rigid cohomology by using the cohomology of the log de Rham-Witt complex of the hypercovering.

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