Author

Wen-Jiao Yan

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Preprint Oct 2026

A Complex Structure on $T^2\times S^4$: The Genus-One Case of Calabi's Problem

We construct a complex structure on $T^2\times S^4$, giving an affirmative answer to the genus-one case of Calabi's problem. The resulting compact complex threefold is non-K\"ahler and admits no biholomorphic product decomposition.

Ming-Hong Gao, Zi-Zhou Tang, Wen-Jiao Yan · 0 citations