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math.CV2026
Analytic and Algebraic Oka-1 Approximation for Smooth Projective Morphisms with Rationally Connected Fibers
Yun-Heng Du, Bin Guo, Song-Yan Xie
Let be a smooth projective morphism of complex manifolds with connected rationally connected fibers. We prove holomorphic approximation on arbitrary compact sets…
math.CV2026
Central Limit Theorem for Intersection Currents of Gaussian Holomorphic Sections
Bin Guo
In 2010, Shiffman and Zelditch proved a central limit theorem (CLT) for smooth statistics of Gaussian random zeros in codimension one over compact Kähler manifolds. They raised the…
math.CV2024
Frequently hypercyclic meromorphic curves with slow growth
Zhangchi Chen, Bin Guo, Song-Yan Xie
We construct entire curves in projective spaces that exhibit frequent hypercyclicity under translations along countably many prescribed directions while maintaining optimal slow gr…