A Galois-theoretic approach to Kanev’s correspondence
Identifieur interne : 000A57 ( Main/Merge ); précédent : 000A56; suivant : 000A58A Galois-theoretic approach to Kanev’s correspondence
Auteurs : Herbert Lange [Allemagne] ; Anita M. Rojas [Chili]Source :
- manuscripta mathematica [ 0025-2611 ] ; 2008-02-01.
Abstract
Abstract: Let G be a finite group, $$\Lambda$$ an absolutely irreducible $${\mathbb{Z}}[G]$$ -module and w a weight of $$\Lambda$$ . 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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DOI: 10.1007/s00229-007-0143-x
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<front><div type="abstract" xml:lang="en">Abstract: Let G be a finite group, $$\Lambda$$ an absolutely irreducible $${\mathbb{Z}}[G]$$ -module and w a weight of $$\Lambda$$ . 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.</div>
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