7 papers
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}…
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…
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…
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…
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 quant…