Corpus ID: 214727756

K-stability of Fano varieties via admissible flags.

@article{Ahmadinezhad2020KstabilityOF,
  title={K-stability of Fano varieties via admissible flags.},
  author={Hamid Ahmadinezhad and Z. Zhuang},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) prove the existence of Kahler-Einstein metrics on all smooth Fano hypersurfaces of Fano index two, (b) to compute the stability thresholds for hypersurfaces at generalized Eckardt points and for cubic surfaces at all points, and (c) to provide a new algebraic proof of Tian's criterion for K-stability, amongst other applications. 
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References

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