Kewei Zhang

activity

20232026

collaborators

10 papers

math.DG2026

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…

math.DG2026

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…

math.CV2026

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 $ω$ , the masses $\int_{X} (ω + dd^{c} φ)^{n}$ are uniformly boun…

math.AG2026

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 $X$ is a $K$ -semistable Fano manifold of dimension $n$ , then for every integer $m \geq 1$ , \[ h…

math.DG2026

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 $n$ -dimensional compact Kähler manifold $(X, ω)$ satisfies $Ric (ω) \geq (n + 1) ω$ and $X \neq ≅ P^{n}$ , then $\mathrm{vol}…

math.AG2025

Multi-Component Open/Relative/Local Correspondence

Song Yu, Ke Zhang, Zhengyu Zong

For a toric Calabi-Yau 3-orbifold relative to s Aganagic-Vafa outer branes, we prove a correspondence among the genus-zero open Gromov-Witten invariants with maximal winding at eac…

math.DG2025

A YTD correspondence for constant scalar curvature metrics

Tamás Darvas, Kewei Zhang

Given a compact Kähler manifold, to better understand Mabuchi's $K$ energy we introduce a family of $K^{β}$ energies, whose favorable properties are similar to those of the Ding ener…

math.AG2025

Quantized volume comparison for Fano manifolds

Kewei Zhang

A result of Kento Fujita says that the volume of a Kähler-Einstein Fano manifold is bounded from above by the volume of the projective space. In this short note we establish quanti…

math.DG2024

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…

math.DG2023

Transcendental Okounkov bodies

Tamás Darvas, Rémi Reboulet, David Witt Nyström +2

We show that the volume of transcendental big $(1, 1)$ -classes on compact Kähler manifolds can be realized by convex bodies, thus answering questions of Lazarsfeld-Mustaţă and Deng.…