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1 results

  • Generic Torelli theorem for Prym varieties of ramified coverings

  • Part of
  • Valeria Ornella Marcucci, Gian Pietro Pirola
  • Journal:
    Compositio Mathematica / Volume 148 / Issue 4 / July 2012
    Published online by Cambridge University Press:
    11 July 2012, pp. 1147-1170
    Print publication:
    July 2012
    • Article
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  • We consider the Prym map from the space of double coverings of a curve of genus g with r branch points to the moduli space of abelian varieties. We prove that 𝒫:ℛg,r→𝒜δg−1+r/2 is generically injective if We also show that a very general Prym variety of dimension at least 4 is not isogenous to a Jacobian.