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A non-archimedean definable Chow theorem

2020/09/14 by Abhishek Oswal, Oswal, Abhishek
Mathematics · Computer Science · #Advanced Topology and Set Theory #Advanced Algebra and Logic #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2009.06134

Abstract

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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