Simply branched covers of an elliptic curve and the moduli space of curves

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Consider genus g curves that admit degree d covers to an elliptic curve simply branched at 2g-2 points. Vary a branch point and the locus of such covers forms a one-parameter family W. We investigate the geometry of W by using admissible covers to study its slope, genus and components. The results can also be applied to study slopes of effective divisors on the moduli space of genus g curves.
21 pages, 11 figures. This is a sequel of arXiv:0704.3994. Comments are welcome

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Algebraic Geometry, Combinatorics, 14H10; 14H30; 05E15

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http://salesiana.dossiersoluciones.com/handle/123456789/162246

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.0674
 http://arxiv.org/abs/0806.0674

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arXiv