On hyperelliptic $C^\infty$-Lefschetz fibrations of four-manifolds

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We show that hyperelliptic symplectic Lefschetz fibrations are symplectically birational to two-fold covers of rational ruled surfaces, branched in a symplectically embedded surface. This reduces the classification of genus 2 fibrations to the classification of certain symplectic submanifolds in rational ruled surfaces.
23 pages, 1 figure, Latex2e with AMS-fonts

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Geometric Topology, Algebraic Geometry, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78160

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903006
 http://arxiv.org/abs/math/9903006

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arXiv