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Divisors computing minimal log discrepancies on lc surfaces
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classification
math.AG
keywords
computingminimaldiscrepancydivisorcomponentdiscrepanciesdivisorsexists
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 Koll\'ar 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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