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

Yuri Prokhorov

doi:10.1215/21562261-2019-0006

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Home > Journals > Kyoto J. Math. > Volume 59 > Issue 4 > Article

December 2019 Log-canonical degenerations of del Pezzo surfaces in

\mathbb{Q}

-Gorenstein families

Yuri Prokhorov

Kyoto J. Math. 59(4): 1041-1073 (December 2019). DOI: 10.1215/21562261-2019-0006

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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