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arXiv:0806.0674 [math.AG]AbstractReferencesReviewsResources

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

Dawei Chen

Published 2008-06-04Version 1

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.

Comments: 21 pages, 11 figures. This is a sequel of arXiv:0704.3994. Comments are welcome
Categories: math.AG, math.CO
Subjects: 14H10, 14H30, 05E15
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