Peng-Chao Wang

collaborators

6 papers

math.CV2026

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…

math.CV2026

Oka complements in algebraic tori and their logarithmic covers

Yun-Heng Du, Bin Guo, Peng-Chao Wang +1

Suppose $n \geq 2$ and $K\subset\C^n$ is compact and polynomially convex. Write $q (z) = (e^{- i z_{1}}, \dots, e^{- i z_{n}})$ , $X_K=(\C^*)^n\setminus(K\cap(\C^*)^n)$, and $Y_K=\C^n\setminus q^{…

math.CV2026

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…

cs.IT2026

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…

math.AG2026

Invariant two-jets and effective hyperbolicity for complements of two plane curves

Lei Hou, Pengchao Wang, Song-Yan Xie

Let $D = C_{1} + C_{2} \subset P^{2}$ be a simple-normal-crossing union of smooth plane curves of degrees $1 ⩽ d_{1} ⩽ d_{2}$ . We prove an effective Second Main Theorem on a…

math.CV2026

Wronskian curvature positivity is equivalent to the existence of a holomorphic projective connection

Pengchao Wang, Songyan Xie

Noguchi introduced the notion of Wronskian curvature positivity in his Second Main Theorem and asked for further examples to which his theorem applies. We give a complete answer: a…