KSB smoothings of surface pairs

János Kollár

Journal of Singularities
volume 27 (2024), 89-111

Received: 23 August 2023. In revised form: 27 March 2024

DOI: 10.5427/jsing.2024.27e


Abstract:

We describe KSB smoothings of log canonical surface pairs (S, D), where D is a reduced curve. In sharp contrast with the D equals the empty set case, cyclic quotient pairs always have KSB smoothings, usually forming many irreducible components.


Author(s) information:

János Kollár
Princeton University
Princeton, NJ 08544-1000}
email: kollar@math.princeton.edu