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- W2893639632 abstract "We study finite $p$-subgroups of birational automorphism groups. By virtue of boundedness theorem of Fano varieties, we prove that there exists a constant $R(n)$ such that a rationally connected variety of dimension $n$ over an algebraically closed field is rational if its birational automorphism group contains a $p$-subgroups of maximal rank for $p > R(n)$. Some related applications on Jordan property are discussed." @default.
- W2893639632 created "2018-10-05" @default.
- W2893639632 creator A5025691470 @default.
- W2893639632 date "2018-09-25" @default.
- W2893639632 modified "2023-10-14" @default.
- W2893639632 title "Finite $p$-groups of birational automorphisms and characterizations of rational varieties" @default.
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- W2893639632 doi "https://doi.org/10.48550/arxiv.1809.09506" @default.
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