On a chern number inequality in dimension 3

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We prove c1(X) • c2(X) < ci(X+) • c2(X+) if X - X+ is a 3-fold terminal flip (resp. a(X) • c2(X) < a(Y) • c2(Y) if X -+ Y is a 3-fold elementary contraction contracting a divisor to a curve), where Ci(X) and c2(X) denote the Chern classes.- These provide affirmative answers to two questions by Xie in [Xie].

Original languageEnglish
Pages (from-to)87-107
Number of pages21
JournalJournal of Mathematical Sciences (Japan)
Issue number1
StatePublished - 2020


  • 3-fold terminal singularities
  • Chern number


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