Boundedness of log Calabi-Yau pairs of Fano type

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Abstract

We prove a boundedness result for klt pairs (X, B) such that KX + B ≡ 0 and B is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.

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Hacon, C. D., & Xu, C. (2015). Boundedness of log Calabi-Yau pairs of Fano type. Mathematical Research Letters, 22(6), 1699–1716. https://doi.org/10.4310/MRL.2015.v22.n6.a8

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