Author

Zhang-Chi Chen

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Preprint Sep 2026

Conditional Oka Complex Structures of the Six-Sphere

Alp\"oge's construction produces a period family of compact complex threefolds fibred over $\mathbb{P}^1$, with complex two-tori as general fibres. We give a direct proof that every admissible member is Oka, using only the complex-analytic construction. Du--Guo--Kusakabe--Xie independently established the Oka property...

Zhang-Chi Chen · 1 citation

Preprint Sep 2026

Answers to three problems in Dinh-Sibony's list on holomorphic foliation theory

We address Problems~2.2(i), 2.2(ii), and~2.4 in Dinh--Sibony's list. For a saturated holomorphic curve foliation on a compact K\"ahler manifold with finitely many singularities, every positive directed $dd^c$-closed current has finite Poincar\'e mass. Thus linearizability is not needed for the geometric ergodic theorem...

Zhang-Chi Chen · 0 citations