Rationality of Fano threefolds over non-closed fields

Rationality of Fano threefolds over non-closed fields
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DOI:
10.1353/ajm.2023.0008
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发表时间:
2019-11
影响因子:
1.7
通讯作者:
A. Kuznetsov;Yuri Prokhorov
A. Kuznetsov;Yuri Prokhorov
中科院分区:
数学1区
文献类型:
--
作者:
A. Kuznetsov;Yuri Prokhorov

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给出了零特征域上几何Picard秩为1的Fano三重的单合理性和合理性的充分必要条件。
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.