Data di Pubblicazione:
2021
Citazione:
Birational boundedness of rationally connected Calabi-Yau 3-folds / W. Chen, G. Di Cerbo, J. Han, C. Jiang, R. Svaldi. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 378:(2021). [10.1016/j.aim.2020.107541]
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 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. (c) 2020 Elsevier Inc. All rights reserved.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Calabi-Yau 3-folds; Boundedness; Rationally connected
Elenco autori:
W. Chen, G. Di Cerbo, J. Han, C. Jiang, R. Svaldi
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