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A non-archimedean definable Chow theorem

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arxiv 2009.06134 v1 pith:FOLRQ2OI submitted 2020-09-14 math.AG math.LO

A non-archimedean definable Chow theorem

classification math.AG math.LO
keywords algebraicchowdefinablenon-archimedeansubsettheoremanalogueanalytic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Peterzil and Starchenko have proved the following surprising generalization of Chow's theorem: A closed analytic subset of a complex algebraic variety that is definable in an o-minimal structure, is in fact an algebraic subset. In this paper, we prove a non-archimedean analogue of this result.

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