4 papers · 2 filters
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…
Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero
In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara
In this paper, we study the cylindricity of -forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes over an arbitrary fie…
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…