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math.AG2026
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.AG2025
Structural Invariance of Green--Griffiths--Demailly Thresholds on Compact Complex Orbifolds
Gunhee Cho, Myungsin Cho
We prove that the Green--Griffiths--Demailly (GGD) hyperbolicity thresholds are structurally invariant. In other words, the minimal jet order and asymptotic growth rate at which in…