Prym varieties of cyclic coverings

Details Prym varieties of cyclic coverings Prym varieties of cyclic coverings

2008-05-07

arxiv.org/abs/0805.1020v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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