9 papers
Oka realizations, fundamental groups, and holomorphic cofibrations
Bin Guo, Yuta Kusakabe, Peng-Chao Wang
The homotopy types of Oka manifolds are exactly those of countable finite-dimensional CW complexes. We construct realizations as open subsets of complex Euclidean spaces with expli…
Oka complements in algebraic tori and their logarithmic covers
Yun-Heng Du, Bin Guo, Peng-Chao Wang +1
Suppose and $K\subset\C^n$ is compact and polynomially convex. Write , $X_K=(\C^*)^n\setminus(K\cap(\C^*)^n)$, and $Y_K=\C^n\setminus q^{…
Oka manifolds are ubiquitous
Sicheng An, Bin Guo, Yun-Heng Du +2
We prove that a holomorphic family of connected complex Lie groups has Oka total space if and only if its base is Oka. Extension presentations and generating sections give Oka resu…
Network Coding Can Beat Routing in Undirected Multiple-Unicast Networks
Xindan Zhang, Baochun Li, Zongpeng Li
Network coding lets the nodes of a network combine messages rather than merely forward them. In undirected networks, where the two directions of an edge share its capacity, Li and…
Oka Geometry of Complex Six-Spheres
Yun-Heng Du, Bin Guo, Yuta Kusakabe +1
Alpöge constructed a complex structure on through a torus fibration with exactly three special fibres. We prove that every member of the associated admissible period family i…
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…
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…
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…
Universal holomorphic maps with slow growth II. functional analysis methods
Bin Guo, Song-Yan Xie
By means of hypercyclic operator theory, we complement our previous results on hypercyclic holomorphic maps between complex Euclidean spaces having slow growth rates,by showing {\i…