Correspondences with split polynomial equations

Details Correspondences with split polynomial equations Correspondences with split polynomial equations

2007-02-12

arxiv.org/abs/math/0702285v5

Mathematics

Algebraic Geometry

AMS-Latex, 32 pages, minor corrections, computation of dimensions of eigen-abelian varieties added

Scientific paper

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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