Work

A valuative approach to the anticanonical minimal model program

Year: 2026

Type: article

Abstract: In this paper, we show that the log canonical threshold of a potentially klt triple can be computed by a quasi-monomial valuation. As an application of the main result, we show that we can run the MMP on any potentially klt triples and − ( 𝐾 𝑋 + Δ ) -MMP on the potentially klt pairs.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2026.111307

Authors: Sung Rak Choi, Sungwook Jang, Donghyeon Kim, Dae-Won Lee

Institutions: Yonsei University, Institute for Basic Science, Ewha Womans University, Korea Institute for Advanced Study

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790