2009/04/29 by Yashonidhi Pandey, Pandey, Yashonidhi
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG
paper · pdf · doi:10.48550/arxiv.0904.4563
26 pages
arxiv created 2009/04/29 · openalex publication_date 2009/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let π: Z → X be 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 Yλ= Z/\Stab(λ). One can realise a Prym variety Pλ⊂ \Jac(Yλ) and we denote φλ the restriction of the principal polarisation of \Jac(Yλ) upon Pλ. For two dominant weights λ and μ, we construct a correspondence Δλμ on Yλ× Yμ and calculate the pull-back of φμ by Δλμ in terms of φλ.