Campana-Kobayashi Hyperbolicity via orbifold-hyperbolic persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Finer K-Stability via stability-refinement persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Yau-Tian-Donaldson Conjecture via Kähler-Einstein persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Green-Griffiths-Lang Conjecture via hyperbolic-entire-curve persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.