4 papers
Schwarz-Pick Lemma for Invariant Harmonic Functions on the Complex Unit Ball
Kapil Jaglan, Aeryeong Seo
This paper establishes a sharp Schwarz-Pick type inequality for real-valued invariant harmonic functions defined on the complex unit ball . The proof of this main resu…
On the Kähler-hyperbolicity of bounded symmetric domains
Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo
In this paper, we characterize the Kähler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient…
Cohomology Isomorphism of Symmetric Power of Cotangent Bundle of Ball quotient and Its Toroidal Compactification
Seungjae Lee, Aeryeong Seo
In this paper, we investigate the -Dolbeault cohomology of the symmetric power of cotangent bundles of ball quotients with finite volume, as well as their toroidal compactific…
Ampleness of normal bundles of base cycles in flag domains
Jaehyun Hong, Aeryeong Seo
Flag domains are open orbits of noncompact real forms of complex semisimple Lie groups acting on flag manifolds. To each flag domain one can associate a compact complex manifold ca…