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Prym varieties of cyclic coverings

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Abstract

The Prym map of type (g, n, r) associates to every cyclic covering of degree n of a curve of genus g ramified at a reduced divisor of degree r the corresponding Prym variety. We show that the corresponding map of moduli spaces is generically finite in most cases. From this we deduce the dimension of the image of the Prym map.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Erlangen-Nürnberg, Erlangen, Germany

    Herbert Lange

  2. Fachbereich Mathematik, Universität Duisburg-Essen, Essen, Germany

    Angela Ortega

Authors
  1. Herbert Lange
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  2. Angela Ortega
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Corresponding author

Correspondence to Angela Ortega.

Additional information

We would like to thank Edoardo Sernesi for some valuable hints concerning the proof of Proposition 4.1.

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Lange, H., Ortega, A. Prym varieties of cyclic coverings. Geom Dedicata 150, 391–403 (2011). https://doi.org/10.1007/s10711-010-9512-9

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  • DOI: https://doi.org/10.1007/s10711-010-9512-9

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