3 papers
math.DG2026
Bottom of the spectrum of complete noncompact Kähler manifolds
Ye-Won Luke Cho, Young-Jun Choi
We present a survey on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, with particular emphasis on Kähler hyperbolic manifolds and boun…
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…
math.DG2025
Continuity of solutions to complex Monge-Ampère equations on compact Kähler spaces
Ye-Won Luke Cho, Young-Jun Choi
We prove the continuity of bounded solutions to complex Monge-Ampère equations on reduced, locally irreducible compact Kähler spaces. This in particular implies that any singular…