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Boundedness of polarized log Calabi-Yau fibrations

Published 15 Feb 2022 in math.AG | (2202.07238v5)

Abstract: In this paper, we investigate the boundedness of log pairs with log Calabi--Yau fibration structures. We prove that total spaces of log Calabi--Yau fibrations are bounded modulo crepant birational equivalence when the Iitaka volumes of log canonical divisors are bounded and general fibers are in a bounded family of polarized log Calabi--Yau pairs.

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