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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 is a -semistable Fano manifold of dimension , then for every integer , \[ h…
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.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 quant…