Preprint in the OpenAI Math release
Canonical ampleness of compact hyperbolic Kähler manifolds
OpenAI
Abstract
We prove that every compact connected Kähler manifold of positive complex dimension containing no nonconstant entire curve has ample canonical bundle and is projective. This resolves positively Kobayashi's canonical-ampleness conjecture in the smooth compact Kähler category.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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