Comparison Isomorphisms for Smooth Formal Schemes
Algebraic Geometry
2012-12-18 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1212.3813,
title = {Comparison Isomorphisms for Smooth Formal Schemes},
author = {Fabrizio Andreatta and Adrian Iovita},
journal= {arXiv preprint arXiv:1212.3813},
year = {2012}
}