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A Conditional Oka Complex Structure of the Six-Sphere
Alpöge constructs a compact complex threefold $Y$ fibred over $\mathbb{P}^1$ by complex two-tori away from three special points. We prove that $Y$ is an Oka manifold. The proof applies to every admissible period parameter with the same logarithmic twists and cusp gluing. If one also accepts the iden
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