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On K-stability of some del Pezzo surfaces of Fano index 2

106   0   0.0 ( 0 )
 نشر من قبل Andrea Petracci
 تاريخ النشر 2020
  مجال البحث
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For every integer $a geq 2$, we relate the K-stability of hypersurfaces in the weighted projective space $mathbb{P}(1,1,a,a)$ of degree $2a$ with the GIT stability of binary forms of degree $2a$. Moreover, we prove that such a hypersurface is K-polystable and not K-stable if it is quasi-smooth.



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