## Cut-by-curves criterion for the overconvergence of p-adic differential equations

Shiho, Atsushi
##### Description
In this paper, we prove a `cut-by-curves criterion' for the overconvergence of integrable connections on certain rigid analytic spaces and certain varieties over $p$-adic fields.
Comment: 22 pages
##### Keywords
Mathematics - Number Theory, Mathematics - Algebraic Geometry, 12H25