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Correspondences with split polynomial equations

E. Izadi·H. Lange·V. Strehl
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Abstract

We introduce endomorphisms of special jacobians and show that they satisfy polynomial equations with all integer roots which we compute. The eigen-abelian varieties for these endomorphisms are generalizations of Prym-Tjurin varieties and naturally contain special curves representing cohomology classes which are not expected to be represented by curves in generic abelian varieties.

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E. Izadi, H. Lange, V. Strehl. 2007-11-09. Correspondences with split polynomial equations. https://arxiv.org/abs/math/0702285

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