Weichung Chen, Gabriele Di Cerbo, Jingjun Han, Chen Jiang, Roberto Svaldi, “Birational boundedness of rationally connected Calabi-Yau 3-folds”, Adv. Math., 2021, том 378,страницы 107541

Эта публикация цитируется в 12 статьях

Birational boundedness of rationally connected Calabi-Yau 3-folds

Weichung Chen^a, Gabriele Di Cerbo^b, Jingjun Han^c, Chen Jiang^d, Roberto Svaldi^e

^a Graduate School of Mathematical Sciences, the University of Tokyo, Tokyo, Japan
^b Department of Mathematics, Princeton University, Princeton, NJ, USA
^c Department of Mathematics, Johns Hopkins University, Baltimore, MD, USA
^d Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China
^e EPFL, Lausanne, Switzerland

Аннотация: 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 $\epsilon$-CY type form a birationally bounded family for $\epsilon>0$. Moreover, we show that the set of $$\epsilon-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.

Язык публикации: английский