A Hodge-Type Filtration on Rigid Cohomology
Abstract
Given a scheme X over a complete discrete valuation ring OK of mixed characteristic,Gros,in his study of syntomic cohomology in the smooth and proper case, introduced a filtration on the rigid cohomology of the special fiber Xk.Gros claimed that this construction was independent of the choice of immersions involved, citing an unpublished paper of Berthelot. However no proofs of this have appeared: here we prove it.
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