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Polarizations of Prym Varieties of pairs of coverings

H. Lange·S. Recillas
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Abstract

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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H. Lange, S. Recillas. 2005-08-24. Polarizations of Prym Varieties of pairs of coverings. https://arxiv.org/abs/math/0508456

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