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

2013/03/12 by Jun Lu, Lu, Jun, Sheng-Li Tan +5
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1303.2749

11 pages, 3 figures

arxiv created 2013/03/12 · arxiv updated 2013/03/13

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.

Related

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• The Hodge number h¹,1 of irregular algebraic surfaces
• Arakelov-type inequalities for Hodge bundles
• A generalization of the Castelnuovo-de Franchis inequality
• Arakelov inequalities in higher dimensions