Abstract
The general question behind this paper is the possibility of nonrational varieties V with rational symmetric powers. We extend known results and show Severi—Brauer varieties provide a counterexample. On the other hand, we show that unramified cohomology cannot be the means to find such an example.
The first author is grateful for support under NSF grant DMS-9983726.
The second author is grateful for support under NSF grant DMS-9970213.
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Krashen, D., Saltman, D.J. (2004). Severi—Brauer Varieties and Symmetric Powers. In: Popov, V.L. (eds) Algebraic Transformation Groups and Algebraic Varieties. Encyclopaedia of Mathematical Sciences, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05652-3_5
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DOI: https://doi.org/10.1007/978-3-662-05652-3_5
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