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arXiv · 1303.2749

A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces

Jun Lu·Sheng-Li Tan·Fei Yu·Kang Zuo
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Abstract

We get a new inequality on the Hodge number $h^{1,1}(S)$ of fibred algebraic complex surfaces $S$, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.

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Jun Lu, Sheng-Li Tan, Fei Yu, Kang Zuo. 2013-03-12. A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces. https://arxiv.org/abs/1303.2749

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