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Overconvergent subanalytic subsets in the framework of Berkovich spaces

Martin, Florent



Abstract

We study the class of overconvergent subanalytic subsets of a k-affinoid space X when k is a non-archimedean field. These are the images along the projection X x B-n -> X of subsets defined by inequalities between functions on X x B-n which are overconvergent in the variables of B-n. In particular, we study the local nature, with respect to X, of overconvergent subanalytic sub-sets. We show that ...

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