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arxiv: 0906.4383 · v1 · submitted 2009-06-24 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords certaincriterioncut-by-curvesoverconvergenceadicanalyticconnectionsdifferential
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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.

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