6 papers
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 minimal model program and Zariski decomposition of potential triples
Sung Rak Choi, Sungwook Jang, Dae-Won Lee
In this paper, we investigate properties of potential triples which consists of a pair and a pseudoeffective -Cartier divisor . In particular, we s…
Anticanonical divisor with good asymptotic base loci
Sung Rak Choi, Sungwook Jang, Dae-Won Lee
In this paper, we give a characterization of Fano type varieties in terms of the asymptotic base loci of . We also show that for a potentially lc pair , if no plc…
Anticanonical minimal models and Zariski decomposition
Sungwook Jang
Birkar and Hu showed that if a pair is lc and admits a birational Zariski decomposition, then has a minimal model. Analogously, we prove that if a pair $(…
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 …
ACC of plc thresholds
Sung Rak Choi, Sungwook Jang
In this paper, we define potential log canonical threshold and prove that the set of those thresholds satisfies the ascending chain condition (ACC). We also consider collections of…