Divisors computing minimal log discrepancies on lc surfaces

Jihao Liu; Lingyao Xie

doi:10.1017/S0305004123000051

Divisors computing minimal log discrepancies on lc surfaces

Jihao Liu, Lingyao Xie

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let be an lc surface germ. If is klt, we show that there exists a divisor computing the minimal log discrepancy of that is a Kollár component of. If or is not Du Val, we show that any divisor computing the minimal log discrepancy of is a potential lc place of. This extends a result of Blum and Kawakita who independently showed that any divisor computing the minimal log discrepancy on a smooth surface is a potential lc place.

Original language	English (US)
Pages (from-to)	107-128
Number of pages	22
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	175
Issue number	1
DOIs	https://doi.org/10.1017/S0305004123000051
State	Published - Jul 14 2023

Keywords

14E30 14B05

ASJC Scopus subject areas

General Mathematics

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10.1017/S0305004123000051

Cite this

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AU - Xie, Lingyao

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PY - 2023/7/14

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N2 - Let be an lc surface germ. If is klt, we show that there exists a divisor computing the minimal log discrepancy of that is a Kollár component of. If or is not Du Val, we show that any divisor computing the minimal log discrepancy of is a potential lc place of. This extends a result of Blum and Kawakita who independently showed that any divisor computing the minimal log discrepancy on a smooth surface is a potential lc place.

AB - Let be an lc surface germ. If is klt, we show that there exists a divisor computing the minimal log discrepancy of that is a Kollár component of. If or is not Du Val, we show that any divisor computing the minimal log discrepancy of is a potential lc place of. This extends a result of Blum and Kawakita who independently showed that any divisor computing the minimal log discrepancy on a smooth surface is a potential lc place.

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Divisors computing minimal log discrepancies on lc surfaces

Abstract

Keywords

ASJC Scopus subject areas

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