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- W4376988504 abstract "In this paper we show the failure of the integral Hodge/Tate conjecture for the product of an Enriques surface with a smooth odd-dimensional projective hypersurface. To do this, we use a specialization argument of Colliot-Th'el`ene applied to Schreieder's refined unramified cohomology. The results obtained in this way give an interpretation of Shen's result in terms of refined unramified cohomology. Moreover, using this interpretation, we avoid the need to work over the complex numbers so that we may conclude that Shen's result also holds over general algebraically closed fields of characteristic not 2." @default.
- W4376988504 created "2023-05-18" @default.
- W4376988504 creator A5022325093 @default.
- W4376988504 date "2023-05-15" @default.
- W4376988504 modified "2023-09-29" @default.
- W4376988504 title "On the failure of the integral Hodge/Tate conjecture for products with projective hypersurfaces" @default.
- W4376988504 doi "https://doi.org/10.48550/arxiv.2305.08961" @default.
- W4376988504 hasPublicationYear "2023" @default.
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