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Reductivity of the automorphism group of K-polystable Fano varieties

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 نشر من قبل Chenyang Xu
 تاريخ النشر 2019
  مجال البحث
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We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and $Theta$-reductivity of the moduli of K-semistable log Fano pairs. Assuming the conjecture that K-semistability is an open condition, we prove that the Artin stack parametrizing K-semistable Fano varieties admits a separated good moduli space.



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