The Szpiro inequality for higher genus fibrations

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Let f : S --> B be a non-trivial family of semi-stable curves of genus g, N the number of critical points of f and s the number of singular fibres. We prove the inequality N < (4g+2)(s+2g(B)-2) .
2 pages, Plain TeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109080
 http://arxiv.org/abs/math/0109080

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arXiv