Frankel's conjecture for compact Kähler manifolds
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.
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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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