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Prym Subvarieties P λ of Jacobians via Schur correspondences between curves

Yashonidhi Pandey (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Let π : Z X denote a Galois cover of smooth projective curves with Galois group W a Weyl group of a simple Lie group G . For a dominant weight λ , we consider the intermediate curve Y λ = Z / Stab ( λ ) . One defines a Prym variety P λ Jac ( Y λ ) and we denote by ϕ λ the restriction of the principal polarization of Jac ( Y λ ) upon P λ . For two dominant weights λ and μ , we construct a correspondence S λ μ on Y λ × Y μ and calculate the pull-back of ϕ μ by S λ μ in terms of ϕ λ .

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