Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry
Algebraic Geometry
2016-04-19 v3
Abstract
This note surveys basic topological properties of nonarchimedean analytic spaces, in the sense of Berkovich, including the recent tameness results of Hrushovski and Loeser. We also discuss interactions between the topology of nonarchimedean analytic spaces and classical algebraic geometry.
Keywords
Cite
@article{arxiv.1309.4403,
title = {Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry},
author = {Sam Payne},
journal= {arXiv preprint arXiv:1309.4403},
year = {2016}
}
Comments
30 pages, 5 figures. v3: Final version, to appear in Bull. Amer. Math. Soc