Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 051-01. Canonical ampleness of compact hyperbolic Kähler manifolds
Manuscript map · lines 3525–3534
OpenAI@2026-10-07#rem:oai-p-051-01
Authors: OpenAI. Family 051.
Title: Canonical ampleness of compact hyperbolic Kähler manifolds.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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