Local rigid cohomology of singular points

David Ouwehand

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arXiv · 1401.1656

Local rigid cohomology of singular points

David Ouwehand

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Abstract

We show that if two singular points $x' \in X'$ and $x \in X$ on schemes over a field $k$ of characteristic $p > 0$ are contact equivalent then the rigid cohomology spaces $H^{\bullet}_{rig, \{x\}}(X)$ and $H^{\bullet}_{rig, \{x'\}}(X')$ are isomorphic. The isomorphism that we construct is moreover compatible with the Frobenius structure on rigid cohomology.

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David Ouwehand. 2014-01-08. Local rigid cohomology of singular points. https://arxiv.org/abs/1401.1656

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