Polarizations of Prym Varieties of pairs of coverings

Details Polarizations of Prym Varieties of pairs of coverings Polarizations of Prym Varieties of pairs of coverings

2005-08-24

arxiv.org/abs/math/0508456v1

Mathematics

Algebraic Geometry

to appear in Archiv der Mathematik

Scientific paper

To any pair of coverings $f_i: X \ra X_i, i = 1,2$ of smooth projective
curves one can associate an abelian subvariety of the Jacobian $J_X$, the Prym
variety $P(f_1,f_2)$ of the pair $(f_1,f_2)$. In some cases we can compute the
type of the restriction of the canonical principal polarization of $JX$. We
obtain 2 families of Prym-Tyurin varieties of exponent 6.

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