Comparison Isomorphisms for Smooth Formal Schemes

Published 16 Dec 2012 in math.AG and math.NT | (1212.3813v1)

Abstract: For a smooth proper scheme or formal scheme over an unramified, complete DVR of mixed characteristics we prove a comparison isomorphism relating etale cohomology of the generic fiber with values in a crystalline etale sheaf to the crystalline cohomology of its special fiber with values in the associated F-isocrystal.

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