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math.CV2026
Answers to three problems in Dinh-Sibony's list on holomorphic foliation theory
Zhangchi Chen
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 Kähler manifold with finitely many singularities, ever…
math.CV2026
Conditional Oka Complex Structures of the Six-Sphere
Zhangchi Chen
Alpöge's construction produces a period family of compact complex threefolds fibred over , with complex two-tori as general fibres. We give a direct proof that every…
math.AG2026
Nakano-positive determinants outside the Hodge-Riemann cone
Zhangchi Chen
Dinh and Nguyên asked whether the determinant of a Griffiths positive matrix of -forms belongs to the Hodge--Riemann cone. For every and $2\leqslant k\leqslant…