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math.NT2009
Cut-by-curves criterion for the overconvergence of p-adic differential equations
Atsushi Shiho
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 -adic fields.
math.NT2009★ 1 cited
Cut-by-curves criterion for the log extendability of overconvergent isocrystals
Atsushi Shiho
In this paper, we prove a `cut-by-curves criterion' for an overconvergent isocrystal on a smooth variety over a field of characteristic to extend logarithmically to its smoot…
math.NT2008
On logarithmic extension of overconvergent isocrystals
Atsushi Shiho
In this paper, we establish a criterion for an overconvergent isocrystal on a smooth variety over a field of characteristic to extend logarithmically to its smooth compactifi…