Add to ORKGWe study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the generalised Legendre transform to the Okounkov body defined by Witt Nystrom, and a result of Schwer--Lytchak.Comment: Replaces the previous article entirely. New results and a disproof of the main result of v1. Note written for the proceedings of a conference in the honour of Bo Berndtsso
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
Let $\mathcal{O}$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann co...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
Linking two uniformization results of the Lu and Suita types, we study the Bergman representative co...
The moduli space of convex projective structures on a simplicial hyperbolic Coxeter orbifold is eith...
Starting from the data of a big line bundle $L$ on a projective manifold $X$ with a choice of $N\geq...
We investigate curved flats in Lie sphere geometry. We show that in this setting curved flats are in...
In this paper we prove that on a closed oriented surface, flat metrics determined by holomorphic qua...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we c...
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prov...
We associate to a test configuration for a polarized variety a filtration of the section ring of the...
This thesis presents three papers dealing with questions in K\ue4hler geometry. In the first paper w...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
Let $\mathcal{O}$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann co...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
Linking two uniformization results of the Lu and Suita types, we study the Bergman representative co...
The moduli space of convex projective structures on a simplicial hyperbolic Coxeter orbifold is eith...
Starting from the data of a big line bundle $L$ on a projective manifold $X$ with a choice of $N\geq...
We investigate curved flats in Lie sphere geometry. We show that in this setting curved flats are in...
In this paper we prove that on a closed oriented surface, flat metrics determined by holomorphic qua...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we c...
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prov...
We associate to a test configuration for a polarized variety a filtration of the section ring of the...
This thesis presents three papers dealing with questions in K\ue4hler geometry. In the first paper w...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
Let $\mathcal{O}$ be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann co...