Descent for nonarchimedean analytic spaces

Conrad, Brian; Temkin, Michael

doi:10.2140/tunis.2021.3.689

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Descent for nonarchimedean analytic spaces

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Temkin, Michael
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/tunis.2021.3.689
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https://doi.org/10.48550/arXiv.1912.06230
(Preprint)

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Conrad-Temkin_Descent for nonarchimedean analytic spaces_2021.pdf
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Citation

Conrad, B., & Temkin, M. (2021). Descent for nonarchimedean analytic spaces. Tunisian Journal of Mathematics, 3(4), 689-748. doi:10.2140/tunis.2021.3.689.

Cite as: https://hdl.handle.net/21.11116/0000-0009-FF55-9

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.