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arXiv · 0911.5224

Prym varieties of triple coverings

Herbert Lange·Angela Ortega
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Abstract

We show that the Prym variety associated to a triple covering f: Y --> X of curves is principally polarized of dimension > 1, if and only if f is non-cyclic, etale and X is of genus 2. We investigate some properties of these Prym varieties and their moduli.

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Herbert Lange, Angela Ortega. 2011-03-25. Prym varieties of triple coverings. https://doi.org/10.1093/imrn%2Frnq287

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