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arXiv · 1911.08949

Rationality of Fano threefolds over non-closed fields

Alexander Kuznetsov·Yuri Prokhorov
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Abstract

We give necessary and sufficient conditions for unirationality and rationality of Fano threefolds of geometric Picard rank-1 over an arbitrary field of zero characteristic.

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Alexander Kuznetsov, Yuri Prokhorov. 2019-11-20. Rationality of Fano threefolds over non-closed fields. https://arxiv.org/abs/1911.08949

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