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- W2920276578 abstract "We investigate the topological properties of Berkovich analytifications over hybrid fields, that is a field equipped with the maximum of its native norm and the trivial norm. We prove that the analytification of the affine line or of a smooth projective curve over a countable Archimedean hybrid field is contractible, and show that it can be non-contractible when the field is uncountable. Further, we prove that the analytification of affine space over a non-Archimedean hybrid field or over a discrete valuation ring is contractible. As an application, we show that the Berkovich affine line over the ring of integers of a number field is contractible." @default.
- W2920276578 created "2019-03-11" @default.
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- W2920276578 date "2019-03-05" @default.
- W2920276578 modified "2023-09-27" @default.
- W2920276578 title "Topology of Hybrid Analytifications." @default.
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