Mathematics – Algebraic Geometry
Scientific paper
2007-02-02
Mathematics
Algebraic Geometry
31 pages, minor modifications, references added
Scientific paper
Let $\pi: Z \ra X$ 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 $\lambda$ consider the curve $Y = Z/\Stab(\lambda)$. The Kanev correspondence defines an abelian subvariety $P_\lambda$ of the Jacobian of $Y$. We compute the type of the polarization of the restriction of the canonical principal polarization of $\Jac(Y)$ to $P_\lambda$ 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 $X$.
Lange Herbert
Pauly Christian
No associations
LandOfFree
Polarizations of Prym varieties for Weyl groups via abelianization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Polarizations of Prym varieties for Weyl groups via abelianization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polarizations of Prym varieties for Weyl groups via abelianization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-676122