2 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
Specialization morphisms
Ildar Gaisin, John Welliaveetil
We define the notion of a specialization morphism from a locally noetherian analytic adic space to a scheme. This captures the (classical) specialization morphism associated to a f…
A study of compatible deformations in non-Archimedean geometry
John Welliaveetil
In 2010, Hrushovski--Loeser showed that the Berkovich analytification of a quasi-projective variety over a non-Archimedean valued field admits a deformation retraction onto a finit…
Radiality of definable sets
John Welliaveetil
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 projec…
Constructibility and Reflexivity in non-Archimedean geometry
Ildar Gaisin, John Welliaveetil
We introduce a notion of constructibility for étale sheaves with torsion coefficients over a suitable class of adic spaces. This notion is related to the classical notion of constr…
A Riemann-Hurwitz Formula for Skeleta in Non-Archimedean Geometry
John Welliaveetil
Let be a finite morphism between smooth, projective, irreducible curves defined over a non-archimedean valued, algebraically closed field . This morphism induces a…
Finite Morphisms between Projective Varieties and Skeleta
John Welliaveetil
In this paper we study finite morphisms between irreducible projective varieties in terms of the morphisms they induce between the respective analytifications. The background for t…