演講者：陳星谷教授 (國立中正大學數學系)

日   期：2026 年 10 月 07 日（星期三）13:30

地   點：國立高雄大學理學院 408 室

講   題：Minimal canonical resolutions and twisted valuations on surface cyclic quotient singularities

摘   要：

Algebraic varieties are zero locus defined by polynomials. A singularity is a germ of algebraic variety (over the field of complex numbers) which is not a complex manifold. A canonical singularity is a singularity with certain nice property. In this talk we want to compare a non-canonical singularity to its minimal canonical resolution. We introduce the twisted valuation, which is a divisorial valuation divided by minus of its discrepancy, if that the discrepancy is negative. We will discuss the minimal canonical resolution and minimal twisted valuations for two-dimensional quotient singularities.