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arxiv: 1310.6705 · v2 · pith:Q6JP2FCAnew · submitted 2013-10-24 · 🧮 math.AG

Universal unramified cohomology of cubic fourfolds containing a plane

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keywords cohomologyunramifiedcontainingcubicplaneuniversalcomplexfourfold
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We prove the universal triviality of the third unramified cohomology group of a very general complex cubic fourfold containing a plane. The proof uses results on the unramified cohomology of quadrics due to Kahn, Rost, and Sujatha.

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