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The Prym map of degree-7 cyclic coverings (1501.07511v1)

Published 29 Jan 2015 in math.AG

Abstract: 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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