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arxiv: 0911.5224 · v2 · pith:RGJXF5B7new · submitted 2009-11-27 · 🧮 math.AG

Prym varieties of triple coverings

classification 🧮 math.AG
keywords prymtriplevarietiesassociatedcoveringcoveringscurvesdimension
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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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