Descent for nonarchimedean analytic spaces

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2019-12-12 DOI:10.2140/tunis.2021.3.689
B. Conrad, M. Temkin
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引用次数: 7

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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非阿基米德解析空间的下降
在本文中,我们研究了Berkovich分析空间范畴中的两种下降类型:平坦下降和关于地场扩展的下降。令人惊讶的是,在这个方向上最深的结果似乎是第二类,包括作为一个好的分析空间和作为一个无边界的态射的性质的下降。
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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
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