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

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dc.creatorChen, Dawei
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:37Z
dc.date.available2026-07-07T09:42:37Z
dc.descriptionConsider 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.
dc.description21 pages, 11 figures. This is a sequel of arXiv:0704.3994. Comments are welcome
dc.identifierhttps://arxiv.org/abs/0806.0674
dc.identifierhttp://arxiv.org/abs/0806.0674
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162246
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14H10; 14H30; 05E15
dc.titleSimply branched covers of an elliptic curve and the moduli space of curves
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