144 citations · 420 across the 30 of their papers we have counts for
5 papers · 1 filter
A minimum principle for Lagrangian graphs
Tamás Darvas, Yanir A. Rubinstein
The classical minimum principle is foundational in convex and complex analysis and plays an important role in the study of the real and complex Monge-Ampere equations. This note es…
On the singularity type of full mass currents in big cohomology classes
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
Let be a compact Kähler manifold and be a big cohomology class. We prove several results about the singularity type of full mass currents, answering a number of open qu…
Metric geometry of normal Kähler spaces, energy properness, and existence of canonical metrics
Tamás Darvas
Let be a compact normal Kähler space, with Hodge metric . In this paper, the last in a sequence of works studying the relationship between energy properness and canonica…
Comparison of the Calabi and Mabuchi geometries and applications to geometric flows
Tamás Darvas
Suppose is a compact Kähler manifold. We introduce and explore the metric geometry of the -Calabi Finsler structure on the space of Kähler metrics . Af…
Regularity of weak minimizers of the K-energy and applications to properness and K-stability
Robert J. Berman, Tamás Darvas, Chinh H. Lu
Let be a compact Kähler manifold and the space of Kähler metrics cohomologous to . If a cscK metric exists in , we show that all finite energy m…