Abstract
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 language | English (US) |
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Article number | 107541 |
Journal | Advances in Mathematics |
Volume | 378 |
DOIs | |
State | Published - Feb 12 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Boundedness
- Calabi–Yau 3-folds
- Rationally connected