KSB smoothings of surface pairs

DOI10.5427/JSING.2024.27EarXiv2306.14991MaRDI QIDQ6441563

János Kollár

Publication date: 26 June 2023

Abstract: We describe KSB smoothings of log canonical surface pairs $(S,D)$, where $D$ is a reduced curve. In sharp contrast with the $D=emptyset$ case, cyclic quotient pairs always have KSB smoothings, usually forming many irreducible components. v.2: References added, small changes.

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17)

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