A new inequality on the Hodge number h^(1,1) of algebraic surfaces
classification
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inequalityalgebraicarakelovhodgenumbersurfacesbeauvillecomplex
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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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