Geometriae Dedicata

, Volume 150, Issue 1, pp 391–403 | Cite as

Prym varieties of cyclic coverings

Original Paper

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.

Keywords

Prym variety Prym map 

Mathematics Subject Classification (2000)

14H40 14H30 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität Erlangen-NürnbergErlangenGermany
  2. 2.Fachbereich MathematikUniversität Duisburg-EssenEssenGermany

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