144 citations · 420 across the 30 of their papers we have counts for
5 papers · 1 filter
The Hausdorff distance and metrics on toric singularity types
Ayo Aitokhuehi, Benjamin Braiman, David Owen Horace Cutler +6
Given a compact Kähler manifold , due to the work of Darvas-Di Nezza-Lu, the space of singularity types of -psh functions admits a natural pseudo-metric th…
Relative pluripotential theory on compact Kähler manifolds
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
Given a compact Kähler manifold, we survey the study of complex Monge-Ampère type equations with prescribed singularity type, developed by the authors in a series of papers. In add…
Weak geodesic rays in the space of Kähler potentials and the class E(X,ω)
Tamás Darvas
Suppose (X,ω) is a compact Kähler manifold. In the present work we propose a simple construction for weak geodesic rays in the space of Kähler metrics that seems to be tied togethe…
Morse theory and geodesics in the space of Kähler metrics
Tamás Darvas
Given a compact Kähler manifold let be the set of Kähler forms cohomologous to . As observed by Mabuchi \cite{m}, this space has the structure of an…
Weak geodesics in the space of Kähler metrics
Tamás Darvas, László Lempert
Given a compact Kähler manifold (X,ω_0), according to Mabuchi, the set of Kähler forms cohomologous to ω_0 has the natural structure of an infinite dimensional Riemannian manifold.…