Kähler uniformization provenance module

Family 338: Yau's uniformization conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Complex-geometry researchers can document when positive holomorphic bisectional curvature implies biholomorphism to complex affine space.

Applicability and commercial boundary

Existence of a biholomorphism does not give efficient coordinates or a general numerical uniformization algorithm.

Initial business decision

Research or conditional engineering only. A practical implementation, recurring buyer problem and willingness to pay have not been established. Mathematical usefulness alone is insufficient evidence for a standalone lucrative product.

Next verification action

Inspect constructive coordinate information and a restricted computable example.

Evidence scope

The catalog statement was individually reviewed. The manuscript proof and formal-scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Uniformization of complete Kähler manifolds with positive bisectional curvature.