4 papers · 1 filter
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…
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…