Divisors computing minimal log discrepancies on lc surfaces

2021/01/01 by Jihao Liu, Lingyao Xie, Liu, Jihao +1
Computer Science · #Algebraic Geometry (math.AG) #Cryptography and Residue Arithmetic #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.00138

openalex publication_date 2021/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (X\ni x,B) be an lc surface germ. If X\ni x is klt, we show that there exists a divisor computing the minimal log discrepancy of (X\ni x,B) that is a Kollár component of X\ni x. If B\not=0 or X\ni x is not Du Val, we show that any divisor computing the minimal log discrepancy of (X\ni x,B) is a potential lc place of X\ni x.

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