Correspondences with split polynomial equations
Algebraic Geometry
2011-11-09 v5 Combinatorics
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.
Cite
@article{arxiv.math/0702285,
title = {Correspondences with split polynomial equations},
author = {E. Izadi and H. Lange and V. Strehl},
journal= {arXiv preprint arXiv:math/0702285},
year = {2011}
}
Comments
AMS-Latex, 32 pages, minor corrections, computation of dimensions of eigen-abelian varieties added