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math.CV2026
Bottom of the Spectrum of Complete Kähler Metrics from Finite-Mass Plurisubharmonic Exhaustions
Young-Jun Choi, Jiwon Brandon Jeong
Let be a bounded domain, and let be a smooth strictly plurisubharmonic exhaustion function. We consider the logarithmic potential $g=-\log(-…
math.CV2026
Kähler Hyperbolicity Modulus for Simply-connected Kähler Hyperbolic manifolds
Young-Jun Choi, Kang-Hyurk Lee
This paper investigates the Kähler hyperbolicity modulus on complete Kähler manifolds, with a particular focus on hyperconvex domains and bounded strongly pseudoconvex domains. Our…
math.DG2026
A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications
Ye-Won Luke Cho, Young-Jun Choi, Kang-Hyurk Lee
In this paper, we establish a sharp lower bound for the spectrum of the Hodge Laplacian on Kähler hyperbolic manifolds. This bound is expressed explicitly in terms of the supremum…