Frankel's conjecture for compact Kähler manifolds

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Let (M,ω)(M,\omega) be a compact nn-dimensional Kähler manifold with positive holomorphic bisectional curvature. Frankel's conjecture. Then MM is biholomorphic to CPn\mathbb{CP}^{n}. 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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