Families of stable 3-folds in positive characteristic

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We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic p > 0. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.

Original languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalEpijournal de Geometrie Algebrique
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


  • 3-fold
  • Stable family
  • canonical model
  • moduli
  • positive characteristic


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