Descent for nonarchimedean analytic spaces

Brian Conrad, Michael Temkin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageAmerican English
Pages (from-to)689-748
Number of pages60
JournalTunisian Journal of Mathematics
Volume3
Issue number4
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021, Mathematical Science Publishers. All rights reserved.

Keywords

  • Berkovich spaces
  • Descent
  • Nonarchimedean geometry

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