Purity for overconvergence

Details Purity for overconvergence Purity for overconvergence

2010-07-20

arxiv.org/abs/1007.3345v1

Mathematics

Number Theory

22 pages

Scientific paper

Let $X \hookrightarrow \overline{X}$ be an open immersion of smooth varieties over a field of characteristic $p>0$ such that the complement is a simple normal crossing divisor and let $\overline{Z} \subseteq Z \subseteq \overline{X}$ be closed subschemes of codimension at least $2$. In this paper, we prove that the canonical restriction functor between the category of overconvergent $F$-isocrystals $F\text{-}{\rm Isoc}^{\dagger}(X,\overline{X}) \longrightarrow F\text{-}{\rm Isoc}^{\dagger}(X \setminus Z, \overline{X} \setminus \overline{Z})$ is an equivalence of categories. We also prove an application to the category of $p$-adic representations of the fundamental group of $X$, which is a higher-dimensional version of a result of Tsuzuki.

Affiliated with

Also associated with

No associations

Rating

Purity for overconvergence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Purity for overconvergence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Purity for overconvergence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125101