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arXiv · 1009.5246

Canonical Class Inequality for Fibred Spaces

Jun Lu·Sheng-Li Tan·Kang Zuo
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Abstract

We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth families of minimal surfaces of general type over a curve, $c_1^3<18c_3$.

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Jun Lu, Sheng-Li Tan, Kang Zuo. 2010-09-27. Canonical Class Inequality for Fibred Spaces. https://arxiv.org/abs/1009.5246

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