Divisors computing the minimal log discrepancy on a smooth surface

Abstract

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.

6 pages, mentioned [6, Theorem 6.40] and [6, Exercise 6.45], moved the position of the 3-fold example

References in corpus (1)

• On divisors computing MLD's and LCT's

Cited by in corpus (4)

• Shokurov's conjecture on conic bundles with canonical singularities
• On divisors computing MLD's and LCT's
• The minimal log discrepancies on a smooth surface in positive characteristic
• A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds