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arXiv math/0109028math.SGmath.AG

Symplectic Parshin-Arakelov inequality

Tian-Jun Li

英文摘要:

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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