Corpus ID: 222209092

Valuative stability of polarised varieties

@article{Dervan2020ValuativeSO,
  title={Valuative stability of polarised varieties},
  author={R. Dervan and E. Legendre},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
Fujita and Li have given a characterisation of K-stability of a Fano variety in terms of quantities associated to valuations, which has been essential to all recent progress in the area. We introduce a notion of valuative stability for arbitrary polarised varieties, and show that it is equivalent to K-stability with respect to test configurations with integral central fibre. The numerical invariant governing valuative stability is modelled on Fujita's beta invariant, but includes a term… Expand
Openness of uniform K-stability in the K\"ahler cone.
Weakly special test configurations of log canonical Fano varieties
  • Guodu Chen, Chuyu Zhou
  • Mathematics
  • 2021

References

SHOWING 1-10 OF 57 REFERENCES
On the K-stability of Fano varieties and anticanonical divisors
Scalar Curvature and Stability of Toric Varieties
The Calabi conjecture and K-stability
Uniqueness of K-polystable degenerations of Fano varieties.
Uniform stability of twisted constant scalar curvature K\"ahler metrics
...
1
2
3
4
5
...