Polarizations of Prym varieties for Weyl groups via abelianization
| dc.creator | Lange, Herbert | |
| dc.creator | Pauly, Christian | |
| dc.date | 2007-02-02 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:08Z | |
| dc.date.available | 2026-07-07T08:05:08Z | |
| dc.description | Let $π: Z \ra X$ be a Galois covering of smooth projective curves with Galois group the Weyl group of a simple and simply-connected Lie group $G$. For any dominant weight $λ$ consider the curve $Y = Z/\Stab(λ)$. The Kanev correspondence defines an abelian subvariety $P_λ$ of the Jacobian of $Y$. We compute the type of the polarization of the restriction of the canonical principal polarization of $\Jac(Y)$ to $P_λ$ in some cases. In particular, in the case of the group $E_8$ we obtain families of Prym-Tyurin varieties. The main idea is the use of an abelianization map of the Donagi-Prym variety to the moduli stack of principal $G$-bundles on the curve $X$. | |
| dc.description | 31 pages, minor modifications, references added | |
| dc.identifier | https://arxiv.org/abs/math/0702055 | |
| dc.identifier | http://arxiv.org/abs/math/0702055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130180 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Polarizations of Prym varieties for Weyl groups via abelianization | |
| dc.type | text |