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.

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]

Birational boundedness of rationally connected Calabi-Yau 3-folds

R. Svaldi
2021

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.
Calabi-Yau 3-folds; Boundedness; Rationally connected
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/937282
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