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25 April 2024

» arxiv » 1010.4483

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Generic Torelli theorem for Prym varieties of ramified coverings
Valeria Ornella Marcucci ; Gian Pietro Pirola ;
Date:	21 Oct 2010
Abstract:	In this paper we prove that 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, is generically injective if r>6 and g>1, r=6 and g>2, r=4 and g>4, r=2 and g>5. We also show that a very generic Prym variety of dimension at least 4 is not isogenous to a Jacobian.
Source:	arXiv, 1010.4483
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