5 papers · 1 filter
Understanding entropy using Aubin--Yau deformations
Tamás Darvas, Kewei Zhang
In this paper we investigate three types of entropy that frequently appear in the research of Kähler geometry: the classical Kähler entropy, the radial entropy and the non-Archimed…
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…
A counterexample to the bounded mass property
Mingchen Xia, Kewei Zhang
A compact complex manifold has the bounded mass property if, for one (equivalently, every) Hermitian form , the masses are uniformly boun…
Quantized Volume Comparison for Fano Manifolds, II
Kaixuan Lyu, Kewei Zhang
In this note, the second author's quantized volume comparison conjecture is solved: If is a -semistable Fano manifold of dimension , then for every integer , \[ h…
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}…