Alexander Kuznetsov, Yuri Prokhorov, “Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank”, Journal of the Institute of Mathematics of Jussieu, 2024, Volume 23, Issue 1, Pages 207

Journal of the Institute of Mathematics of Jussieu

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Journal of the Institute of Mathematics of Jussieu, 2024, Volume 23, Issue 1, Pages 207–247
DOI: https://doi.org/10.1017/S1474748022000378 (Mi jimj2)

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Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank

Alexander Kuznetsov^ab, Yuri Prokhorov^abc

^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
^b Laboratory of Algebraic Geometry, NRU HSE, Moscow, Russia
^c Department of Algebra, Moscow State University, Moscow, Russia

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DOI: https://doi.org/10.1017/S1474748022000378

Funding agency	Grant number
HSE Basic Research Program
Ministry of Science and Higher Education of the Russian Federation	075-15-2022-265
We would like to thank Sergey Gorchinskiy, Zhenya Shinder and Costya Shramov for useful discussions. We are also grateful to the anonymous referee for correcting a mistake in the original statement of Theorem 1.4 and for useful comments. This work was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-265). The paper was also partially supported by the HSE University Basic Research Program.

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