Log-canonical degenerations of del Pezzo surfaces in Q-Gorenstein families

Yuri Prokhorov

doi:10.1215/21562261-2019-0006

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December 2019 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.

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Yuri Prokhorov. "Log-canonical degenerations of del Pezzo surfaces in $\mathbb{Q}$ -Gorenstein families." Kyoto J. Math. 59 (4) 1041 - 1073, December 2019. https://doi.org/10.1215/21562261-2019-0006

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Received: 18 April 2017; Revised: 11 July 2017; Accepted: 11 July 2017; Published: December 2019

First available in Project Euclid: 10 August 2019

zbMATH: 07194004

MathSciNet: MR4032206

Digital Object Identifier: 10.1215/21562261-2019-0006

Subjects:

Primary: 14J17

Secondary: 14B07 , 14E30

Keywords: del Pezzo surface , log-canonical singularity , smoothing

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