The Prym map of degree-7 cyclic coverings
classification
🧮 math.AG
keywords
coveringsprymcyclicdegree-7compactificationcurvedegreeetale
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We study the Prym map for degree-7 etale cyclic coverings over a curve of genus 2. We extend this map to a proper map on a partial compactification of the moduli space of such coverings, and prove that the Prym map is generically finite onto its image of degree 10.
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