5 papers · 1 filter
Demailly-Kollár continuity on klt pairs, and applications to alpha and delta invariants
Tamás Darvas, Kewei Zhang
We establish a Demailly-Kollár type continuity theorem for plurisubharmonic functions with respect to adapted measures on normal complex analytic klt pairs. As applications, we pro…
The sharp volume gap for Kähler manifolds with positive Ricci curvature
Chi Li, Minghao Miao, Kewei Zhang
We prove a sharp volume gap estimate: if an -dimensional compact Kähler manifold satisfies and , then $\mathrm{vol}…
A YTD correspondence for constant scalar curvature metrics
Tamás Darvas, Kewei Zhang
Given a compact Kähler manifold, to better understand Mabuchi's energy we introduce a family of energies, whose favorable properties are similar to those of the Ding ener…
The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound
Jianchun Chu, Feng Wang, Kewei Zhang
In this work, optimal rigidity results for eigenvalues on Kähler manifolds with positive Ricci lower bound are established. More precisely, for those Kähler manifolds whose first e…
Transcendental Okounkov bodies
Tamás Darvas, Rémi Reboulet, David Witt Nyström +2
We show that the volume of transcendental big -classes on compact Kähler manifolds can be realized by convex bodies, thus answering questions of Lazarsfeld-Mustaţă and Deng.…