院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

Speaker: Sungrak Choi 副教授(Yonsei University

Inviter: 陈亦飞 研究员

Language: English

Title: A valuative approach to the -K-MM

Time&Venue: 2025424星期 10:00-11:00 & 思源楼S817

Abstract:We study the geometry of the triples which consist of a usual pair and a pseudoeffective divisor. We prove that there exists a quasi-monomial valuation which computes the log canonical threshold of the triple if the triple is potentially klt. As a by product, we show that in such a case, we can run the -K-MMP. This is based on the joint work with S.Jang, D.Kim, and D.Lee.

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