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Divisors computing the minimal log discrepancy on a smooth surface

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arxiv 1606.01611 v2 pith:CAWR4RTO submitted 2016-06-06 math.AG

Divisors computing the minimal log discrepancy on a smooth surface

classification math.AG
keywords computingdiscrepancydivisorminimalsmoothsurfaceblow-upcanonical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study a divisor computing the minimal log discrepancy on a smooth surface. Such a divisor is obtained by a weighted blow-up. There exists an example of a pair such that any divisor computing the minimal log discrepancy computes no log canonical thresholds.

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