24 citations · 60 across the 19 of their papers we have counts for
4 papers · 1 filter
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds
Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre
We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…
Valuative stability of polarised varieties
Ruadhaí Dervan, Eveline Legendre
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…
Localizing the Donaldson-Futaki invariant
Eveline Legendre
We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (K{ä}hler) test configuration coincides with the Futaki invariant of th…
Toric Sasaki-Einstein metrics with conical singularities
Martin de Borbon, Eveline Legendre
We show that any toric Kähler cone with smooth compact cross-section admits a family of Calabi-Yau cone metrics with conical singularities along its toric divisors. The family is p…