Abstract
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.
Mathematics Subject Classiffication (2010). 11E20, 11E88, 14C25, 14D06, 14E08, 14E08, 14F22, 14J28.
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Auel, A., Colliot-Thélène, JL., Parimala, R. (2017). Universal Unramified Cohomology of Cubic Fourfolds Containing a Plane. In: Auel, A., Hassett, B., Várilly-Alvarado, A., Viray, B. (eds) Brauer Groups and Obstruction Problems . Progress in Mathematics, vol 320. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-46852-5_4
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DOI: https://doi.org/10.1007/978-3-319-46852-5_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-46851-8
Online ISBN: 978-3-319-46852-5
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