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Symplectic Parshin-Arakelov inequality

Tian-Jun Li
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Abstract

Lefschetz fibration is the symplectic analogue of stable holomorphic fibration in complex geometry. A 4-dimensional stable holomorphic fibration satisfies the famous Parshin-Arakelov inequality. In this note we present an analogous inequality for a 4-dimensional Lefschetz fibration.

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Tian-Jun Li. 2001-09-05. Symplectic Parshin-Arakelov inequality. https://arxiv.org/abs/math/0109028

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