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math.AG2026
Positivity of supercritical LYZ pairs
Bowen Liu, Mao Sheng, Shing-Tung Yau
We introduce the roots of supercritical Leung--Yau--Zaslow pairs and prove pointwise strong positivity of the associated Schur forms. The resulting LYZ cones contain the pliant con…
math.AG2025
Strong semistability of Higgs bundles over curves
Bowen Liu, Mao Sheng
In this paper we complete the study of the Lan-Sheng-Zuo conjecture proposed in arXiv:1210.8280 for the curve case. Precisely, we prove that every semistable Higgs bundle is strong…