144 citations · 420 across the 30 of their papers we have counts for
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Geodesic Rays and Kähler-Ricci Trajectories on Fano Manifolds
Tamás Darvas, Weiyong He
Suppose is a Fano manifold and is a diverging Kähler-Ricci trajectory. We construct a bounded geodesic ray weakly asymptotic to , along…
The Mabuchi Geometry of Finite Energy Classes
Tamás Darvas
We introduce different Finsler metrics on the space of smooth Kähler potentials that will induce a natural geometry on various finite energy classes . M…
Kiselman's principle, the Dirichlet problem for the Monge-Ampere equation, and rooftop obstacle problems
Tamás Darvas, Yanir A. Rubinstein
First, we obtain a new formula for Bremermann type upper envelopes, that arise frequently in convex analysis and pluripotential theory, in terms of the Legendre transform of the co…
The Mabuchi Completion of the Space of Kähler Potentials
Tamás Darvas
Suppose is a compact Kähler manifold. Following Mabuchi, the space of smooth Kähler potentials can be endowed with a Riemannian structure, which induces an inf…