Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique

Details Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique

2003-07-10

arxiv.org/abs/math/0307151v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Let H a hyperelliptic curve and let f: C --> H be a cyclic etale covering of
degree n, associated to a line bundle in Pic^0 (H) of order n . We prove that
the Prym variety P=Prym(C / H) is isomorphic, as abelian varieties, to a
product of jacobians when n is not divisible by 4.

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