7 papers · 1 filter
Coupled Pklt Tuples and Varieties of Pklt Type
Donghyeon Kim, Dae-Won Lee
We introduce asymptotic multiplier ideal sheaves and log canonical thresholds associated with tuples of pseudoeffective divisors on a projective klt pair. We prove that the thresho…
On the existence of minimizer on a log Fano cone singularity
Donghyeon Kim
We prove that if is a log Fano cone singularity over an uncountable algebraically closed field, and is a -invariant valuation with center…
Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
Donghyeon Kim, Dae-Won Lee
We give an alternative proof of the existence of the anticanonical minimal model program for potentially klt pairs, assuming the anticanonical divisor admits a birational Zariski d…
Minimal model program on the generic fiber of log Calabi-Yau type fibration
Donghyeon Kim, Dae-Won Lee
We study the minimal model program on the geometric generic fiber of a fibration such that for a Zariski dense subset , is an -lc log C…
A valuative approach to the anticanonical minimal model program
Sung Rak Choi, Sungwook Jang, Donghyeon Kim +1
In this paper, we show that the log canonical threshold of a potentially klt triple can be computed by a quasi-monomial valuation. The notion of potential triples provides a larger…
On diminished multiplier ideal and the termination of flips
Donghyeon Kim
In this paper, we develop a theory of diminished multiplier ideals on singular varieties which was introduced by Hacon, and developed by Lehmann. We prove a result regarding the te…
Adjoint asymptotic multiplier ideal sheaves associated to potential triples
Sung Rak Choi, Sungwook Jang, Donghyeon Kim
In this paper, we explore the geometry of potential triples , which by definition consists of a pair and an -Cartier pseudoeffective divisor on …