Vol. 10, No. 4, 2016

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The Prym map of degree-7 cyclic coverings

Herbert Lange and Angela Ortega

Vol. 10 (2016), No. 4, 771–801
DOI: 10.2140/ant.2016.10.771
Abstract

We study the Prym map for degree-$7$ étale cyclic coverings over a curve of genus 2. We extend this map to a proper map on a partial compactification of the moduli space and prove that the Prym map is generically finite onto its image of degree 10.

Keywords
Prym variety, Prym map
Primary: 14H40
Secondary: 14H30