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Finite $p$-groups of birational automorphisms and characterizations of rational varieties

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 نشر من قبل Jinsong Xu
 تاريخ النشر 2018
  مجال البحث
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 تأليف Jinsong Xu




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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.



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