Abstract. Parabolic structures with rational weights encode certain iterated blowups of geometrically ruled surfaces. In this paper, we show that the three notions of parabolic polystability, K-polystability and existence of constant sca-lar curvature Kähler metrics on the iterated blowup are equivalent, for certain polarizations close to the boundary of the Kähler cone. 1
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–D...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
20 pages. Many typos corrected in this version.Parabolic structures with rational weights encode cer...
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, v...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
In this paper we study K-polystability of arbitrary (possibly non-projective) compact Miller manifol...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
K-polystability is, on the one hand, conjecturally equivalent to the existence of certain canonical ...
We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the ex...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–D...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
20 pages. Many typos corrected in this version.Parabolic structures with rational weights encode cer...
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, v...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
In this paper we study K-polystability of arbitrary (possibly non-projective) compact Miller manifol...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
K-polystability is, on the one hand, conjecturally equivalent to the existence of certain canonical ...
We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the ex...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–D...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a...
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