Radiality of definable sets
Algebraic Geometry
2018-01-03 v1
Abstract
In this article we use techniques developed by Hrushovski-Loeser to study certain metric properties of the Berkovich analytification of a finite morphism of smooth connected projective curves. In recent work, M. Temkin proved a radiality statement for the topological ramification locus associated to such finite morphisms. We generalize this result in two directions. We prove a radiality statement for a more general class of sets which we call definable sets. In another direction, we show that the result of Temkin can be obtained in families.
Cite
@article{arxiv.1801.00550,
title = {Radiality of definable sets},
author = {John Welliaveetil},
journal= {arXiv preprint arXiv:1801.00550},
year = {2018}
}