Symplectic Parshin-Arakelov inequality

Details Symplectic Parshin-Arakelov inequality Symplectic Parshin-Arakelov inequality

2001-09-05

arxiv.org/abs/math/0109028v1

Internat. Math. Res. Notices 2000, no. 18, 941-954

Mathematics

Symplectic Geometry

Scientific paper

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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