The horizontal sections functor using the overconvergent de Rham period structure sheaf agrees with Scholze's using OBdR on smooth rigid-analytic varieties, identifying it with the de Rham functor for D-cap-modules.
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The p-adic Cauchy Theorem and Overconvergent Period Sheaves
The horizontal sections functor using the overconvergent de Rham period structure sheaf agrees with Scholze's using OBdR on smooth rigid-analytic varieties, identifying it with the de Rham functor for D-cap-modules.