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math.GT2026
Profinite Non-Rigidity of Arithmetic Lattices and the Kähler Property
Yukun Du, Feng Hao, Kejia Zhu
We study the profinite non-rigidity of arithmetic lattices and its implications for the Kähler property. In the first part, we characterize the absolute Dynkin types that admit non…
math.AG2026
Geometry of Holomorphic One-forms on Smooth Projective Varieties
Jiabin Du, Feng Hao, Haoyuan Li +1
In this article, we show that any morphism from a smooth projective variety to a simple abelian variety is smooth, if and only if there exists a holomorphic 1-form …
math.AG2026
Diffeomorphism types of simply connected -dimensional Mori fibre spaces
Feng Hao, Yang Su, Jianqiang Yang
In this article, we find finitely many numerical invariants to classify the diffeomorphism types of three dimensional simply connected Mori fibre spaces with torsion free homology…