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- W4298676871 abstract "We show that on integral normal separated schemes whose function field is separably closed, for each pair of points the intersection of the resulting local schemes is local. This extends a result of Artin from rings to schemes. The argument relies on the existence of certain modifications in inverse limits. As an application, we show that v{C}ech cohomology coincides with sheaf cohomology for the Nisnevich topology. Along the way, we generalize the characterization of contractible curves on surfaces by negative-definiteness of the intersection matrix to higher dimensions, using bigness of invertible sheaves on non-reduced schemes." @default.
- W4298676871 created "2022-10-02" @default.
- W4298676871 creator A5082520908 @default.
- W4298676871 date "2017-08-22" @default.
- W4298676871 modified "2023-10-14" @default.
- W4298676871 title "Total separable closure and contractions" @default.
- W4298676871 doi "https://doi.org/10.48550/arxiv.1708.06593" @default.
- W4298676871 hasPublicationYear "2017" @default.
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