Prym Subvarieties of Jacobians via Schur correspondances between curves

dc.creatorPandey, Yashonidhi
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:55Z
dc.date.available2026-07-07T13:09:55Z
dc.descriptionLet $π: Z \to X$ 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 $Y_λ= Z/\Stab(λ)$. One can realise a Prym variety $P_λ\subset \Jac(Y_λ)$ and we denote $φ_λ$ the restriction of the principal polarisation of $\Jac(Y_λ)$ upon $P_λ$. For two dominant weights $λ$ and $μ$, we construct a correspondence $Δ_{λμ}$ on $Y_λ\times Y_μ$ and calculate the pull-back of $φ_μ$ by $Δ_{λμ}$ in terms of $φ_λ$.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0904.4563
dc.identifierhttp://arxiv.org/abs/0904.4563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228899
dc.subjectAlgebraic Geometry
dc.titlePrym Subvarieties of Jacobians via Schur correspondances between curves
dc.typetext

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