The dualizing sheaf on first-order deformations of toric surface singularities

Klaus Altmann, János Kollár

Research output: Contribution to journalArticle

Abstract

We explicitly describe infinitesimal deformations of cyclic quotient singularities that satisfy one of the deformation conditions introduced by Wahl, Kollár-ShepherdBarron (KSB) and Viehweg. The conclusion is that in many cases these three notions are different from each other. In particular, we see that while the KSB and the Viehweg versions of the moduli space of surfaces of general type have the same underlying reduced subscheme, their infinitesimal structures are different.

Original languageEnglish (US)
Pages (from-to)137-158
Number of pages22
JournalJournal fur die Reine und Angewandte Mathematik
Volume2019
Issue number753
DOIs
StatePublished - Aug 1 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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