4 papers · 1 filter
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}…
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-MustaÅ£Ä and De…
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 en…
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…