We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.

Boundedness of elliptic Calabi-Yau threefolds / S. Filipazzi, C.D. Hacon, R. Svaldi. - (2021 Dec 02). [10.48550/arxiv.2112.01352]

Boundedness of elliptic Calabi-Yau threefolds

R. Svaldi
Ultimo
2021

Abstract

We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.
Settore MAT/03 - Geometria
https://arxiv.org/abs/2112.01352
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/946533
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