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Descent for
nonarchimedean analytic spaces
Brian Conrad and Michael Temkin |
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Vol. 3 (2021), No. 4, 689–748
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Abstract |
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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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Keywords
nonarchimedean geometry, Berkovich spaces, descent
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Mathematical Subject Classification
Primary: 14G22
Secondary: 14D15
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Milestones
Received: 4 June 2020
Revised: 2 March 2021
Accepted: 17 March 2021
Published: 20 October 2021
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Authors |
| Brian Conrad | |
| Department of Mathematics Stanford University CA United States |
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| Michael Temkin | |
| Einstein Institute of
Mathematics The Hebrew University of Jerusalem Israel |
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