Frankel's conjecture for compact Kähler manifolds
Let be a compact -dimensional Kähler manifold with positive holomorphic bisectional curvature. Frankel's conjecture. Then is biholomorphic to . Frankel's conjecture was resolved independently by Siu–Yau via differential geometry and by Mori via algebraic geometry; the more general Hartshorne conjecture was also proved.
References
Primary source
Jianchun Chu, Jie Deng, Zihang Hao and Jian Li, “The rigidity of dimension estimate for holomorphic functions on Kähler manifolds”, arXiv:2510.14371 (2026).
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