6 citations · 22 across the 10 of their papers we have counts for
11 papers
extension of holomorphic functions for log canonical pairs
Dano Kim
In a general extension theorem of Demailly for log canonical pairs, the criterion with respect to a measure called the Ohsawa measure determines when a given holomorphi…
On a question of Teissier
Dano Kim
Using a result of Demailly and Pham on log canonical thresholds, we give an upper bound for polar invariants from a question of Teissier on hypersurface singularities. This provide…
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom)
Dano Kim, Alexander Rashkovskii
Ein, Lazarsfeld and Smith asked whether `equality' holds between two Samuel type asymptotic multiplicities for a graded system of zero-dimensional ideals on a smooth complex variet…
Canonical bundle formula and degenerating families of volume forms
Dano Kim
Canonical bundle formula due to Kawamata and others has played fundamental roles in algebraic geometry. We show that the canonical bundle formula has analytic characterization in t…
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…
Higher Lelong numbers and convex geometry
Dano Kim, Alexander Rashkovskii
We prove the reversed Alexandrov-Fenchel inequality for mixed Monge-Ampère masses of plurisubharmonic functions, which generalizes a result of Demailly and Pham. As applications to…