A Galois-theoretic approach to Kanev's correspondence
Abstract
Description
Let $G$ be a finite group, $Λ$ an absolutely irreducible $\Z[G]$-module and $w$ a weight of $Λ$.
To any Galois covering with group $G$ we associate two correspondences, the Schur and the Kanev correspondence.
We work out their relation and compute their invariants.
Using this, we give some new examples of Prym-Tyurin varieties.
15 pages
15 pages