Generic Torelli theorem for Prym varieties of ramified coverings
Algebraic Geometry
2019-02-20 v3
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.
Cite
@article{arxiv.1010.4483,
title = {Generic Torelli theorem for Prym varieties of ramified coverings},
author = {Valeria Ornella Marcucci and Gian Pietro Pirola},
journal= {arXiv preprint arXiv:1010.4483},
year = {2019}
}
Comments
24 pages, 2 figures. One reference added. To appear in Compositio Mathematica