## Kyoto Journal of Mathematics

### Log-canonical degenerations of del Pezzo surfaces in $\mathbb{Q}$-Gorenstein families

Yuri Prokhorov

#### Abstract

We classify del Pezzo surfaces of Picard number $1$ with log-canonical singularities admitting $\mathbb{Q}$-Gorenstein smoothings.

#### Article information

Source
Kyoto J. Math., Volume 59, Number 4 (2019), 1041-1073.

Dates
Revised: 11 July 2017
Accepted: 11 July 2017
First available in Project Euclid: 10 August 2019

https://projecteuclid.org/euclid.kjm/1565402426

Digital Object Identifier
doi:10.1215/21562261-2019-0006

Mathematical Reviews number (MathSciNet)
MR4032206

#### Citation

Prokhorov, Yuri. Log-canonical degenerations of del Pezzo surfaces in $\mathbb{Q}$ -Gorenstein families. Kyoto J. Math. 59 (2019), no. 4, 1041--1073. doi:10.1215/21562261-2019-0006. https://projecteuclid.org/euclid.kjm/1565402426

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