Sung Rak Choi

collaborators

4 papers

math.AG2025

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 $(X, I^, D)$ , which by definition consists of a pair $(X, I^)$ and an $R$ -Cartier pseudoeffective divisor $D$ on $…

math.AG2025

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…

math.AG2025

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 $- (K_{X} + I^)$ . We also show that for a potentially lc pair $(X, I^)$ , if no pl…

math.AG2025

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 $(X, I^, D)$ which consists of a pair $(X, I^)$ and a pseudoeffective $R$ -Cartier divisor $D$ . In particular, we…