Birational boundedness of rationally connected Calabi–Yau 3-folds

Weichung Chen, Gabriele Di Cerbo, Jingjun Han, Chen Jiang, Roberto Svaldi

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11 Scopus citations


We prove that rationally connected Calabi–Yau 3-folds with Kawamata log terminal (klt) singularities form a birationally bounded family, or more generally, rationally connected 3-folds of ϵ-CY type form a birationally bounded family for ϵ>0. Moreover, we show that the set of ϵ-lc log Calabi–Yau pairs (X,B) with coefficients of B bounded away from zero is log bounded modulo flops. As a consequence, we deduce that rationally connected klt Calabi–Yau 3-folds with mld bounded away from 1 are bounded modulo flops.

Original languageEnglish (US)
Article number107541
JournalAdvances in Mathematics
StatePublished - Feb 12 2021

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Boundedness
  • Calabi–Yau 3-folds
  • Rationally connected


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