English

Divisors computing the minimal log discrepancy on a smooth surface

Algebraic Geometry 2017-06-28 v2

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.

Keywords

Cite

@article{arxiv.1606.01611,
  title  = {Divisors computing the minimal log discrepancy on a smooth surface},
  author = {Masayuki Kawakita},
  journal= {arXiv preprint arXiv:1606.01611},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T14:18:20.170Z