Frankel's conjecture for compact Kähler manifolds

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.

Sources & referencesView supporting material

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).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.