Minimal slope conjecture of $F$-isocrystals
Algebraic Geometry
2021-10-20 v3 Number Theory
Abstract
The minimal slope conjecture, which was proposed by K.Kedlaya, asserts that two irreducible overconvergent -isocrystals on a smooth variety are isomorphic to each other if both minimal slope constitutions of slope filtrations are isomorphic to each other. We affirmatively solve the minimal slope conjecture for overconvergent -isocrystals on curves and for overconvergent --isocrystals on smooth varieties over finite fields.
Keywords
Cite
@article{arxiv.1910.03871,
title = {Minimal slope conjecture of $F$-isocrystals},
author = {Nobuo Tsuzuki},
journal= {arXiv preprint arXiv:1910.03871},
year = {2021}
}
Comments
Change of the proofs of 5.2 and 6.1