Radiality of definable sets

2018/01/02 by Welliaveetil, John
#03C98 #14G22 #14T05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.00550

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.

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