3 papers
math.CV2025
On the Schwarz Lemma for Bergman metrics of bounded domains
Hoseob Seo, Sungmin Yoo, Jihun Yum
We present a new Schwarz Lemma for bounded domains with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.
math.DG2025
On contact Hamiltonian functions of singular contact structures
Hoseob Seo
For contact manifolds, it is well-known that the map which assigns to an infinitesimal contact transformation its contact Hamiltonian function is a linear isomorphism, and an expli…
math.AG2019
Jumping numbers of analytic multiplier ideals (with an appendix by Sébastien Boucksom)
Dano Kim, Hoseob Seo
We extend the study of jumping numbers of multiplier ideals due to Ein-Lazarsfeld-Smith-Varolin from the algebraic case to the case of general plurisubharmonic functions. While man…