JournalsjemsVol. 27, No. 4pp. 1407–1446

A non-archimedean definable Chow theorem

  • Abhishek Oswal

    California Institute of Technology, Pasadena, USA
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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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Abhishek Oswal, A non-archimedean definable Chow theorem. J. Eur. Math. Soc. 27 (2025), no. 4, pp. 1407–1446

DOI 10.4171/JEMS/1394