Comparison Isomorphisms for Smooth Formal Schemes
classification
🧮 math.AG
math.NT
keywords
cohomologycomparisoncrystallineetalefiberformalschemesmooth
read the original 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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