A Galois-theoretic approach to Kanev's correspondence

2007/07/17 by H. Lange, Lange, H., A. Rojas +1
Mathematics · #14H40 (Secondary) #14K05 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H40 #msc:14K05

paper · pdf · doi:10.48550/arxiv.0707.2441

15 pages

arxiv created 2007/07/17 · arxiv updated 2009/12/01

Abstract

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.

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