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math.AG2021
Hyperbolic Embeddings in Toric Geometry: Effectivity and Deformation Stability
Jaewon Yoo, Gunhee Cho
We study the deformation behavior of Kobayashi hyperbolic embeddings for complements of divisors in projective toric varieties. In the toric setting, entire curves in divisor compl…
math.DG2021
Equivalence of Invariant metrics via Bergman kernel on complete noncompact Kähler manifolds
Gunhee Cho, Kyu-Hwan Lee
We study equivalence of invariant metrics on noncompact Kähler manifolds with a complete Bergman metric of bounded curvature. Especially only the boundedness of the ratio between B…