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arXiv · 1912.06230

Descent for non-archimedean analytic spaces

Brian Conrad·Michael Temkin
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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.

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Brian Conrad, Michael Temkin. 2019-12-12. Descent for non-archimedean analytic spaces. https://doi.org/10.2140/tunis.2021.3.689

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