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Irreducibility of the Hilbert schemes of points on surfaces with Kleinian singularities

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Abstract

We prove that the Hilbert scheme of points on a normal quasi-projective surface with at worst Kleinian singularities is irreducible.

Original languageEnglish
Pages (from-to)98-115
Number of pages18
JournalCommunications in Algebra
Volume51
Issue number1
DOIs
StatePublished - 2023

Keywords

  • Hilbert scheme of points
  • Kleinian singularities
  • matrix factorizations
  • maximal Cohen–Macaulay modules
  • smoothability

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