English

Descent for non-archimedean analytic spaces

Algebraic Geometry 2021-10-27 v2

Abstract

In this paper we study two types of descent in the category of Berkovich analytic spaces: flat descent and descent with respect to an extension of the ground field. Quite surprisingly, the deepest results in this direction seem to be of the second type, including the descent of properties of being a good analytic space and being a morphism without boundary.

Keywords

Cite

@article{arxiv.1912.06230,
  title  = {Descent for non-archimedean analytic spaces},
  author = {Brian Conrad and Michael Temkin},
  journal= {arXiv preprint arXiv:1912.06230},
  year   = {2021}
}

Comments

38 pages, final version, to appear in the Tunisian Journal of Mathematics

R2 v1 2026-06-23T12:44:38.775Z