Hyperelliptic Szpiro inequality

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We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperelliptic curves of genus $g$, the number $N$ of non-separating vanishing cycles and the number $D$ of singular fibers satisfy the inequality $N \leq (4g+2)D$.
LaTeX2e, 27 pages

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Geometric Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61726

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106212
 http://arxiv.org/abs/math/0106212

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arXiv