Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
Number Theory
2026-04-21 v1 Algebraic Geometry
Abstract
We prove the semistable reduction theorem for -valued and -valued overconvergent -isocrystals over -varieties which were introduced by Lazda and P\'{a}l. As an application, we prove the finite dimensionality of -valued rigid cohomology with compact support.
Cite
@article{arxiv.2604.17799,
title = {Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields},
author = {Yuanmin Liu},
journal= {arXiv preprint arXiv:2604.17799},
year = {2026}
}