Rational correspondences between moduli spaces of curves defined by Hurwitz spaces
| Authors |
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| Publication date |
2012
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| Journal |
Journal of Pure and Applied Algebra
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| Volume | Issue number |
216 | 4
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| Pages (from-to) |
876-893
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
By associating to a curve C and a g'd the so-called trace curve and reduced trace curve we define two rational maps 0 and 0 from the Hurwitz space of admissible covers of genus g=2k and degree d=k+1 to moduli spaces Mg' and Mg . We study the induced map of the divisor class group of Mg' and Mg to the divisor class group of Mg.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1016/j.jpaa.2011.10.017
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