English

A non-archimedean definable Chow theorem

Algebraic Geometry 2020-09-15 v1 Logic

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.

Keywords

Cite

@article{arxiv.2009.06134,
  title  = {A non-archimedean definable Chow theorem},
  author = {Abhishek Oswal},
  journal= {arXiv preprint arXiv:2009.06134},
  year   = {2020}
}

Comments

30 pages. Comments are welcome!

R2 v1 2026-06-23T18:30:29.387Z