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Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Stefan Bauer (1991)

Mathematische Annalen

Periods of harmonic Prym differentials on a compact Riemann surface.

Chueshev, V.V. (2002)

Sibirskij Matematicheskij Zhurnal

Polarizations of Prym varieties for Weyl groups via abelianization

Herbert Lange, Christian Pauly (2009)

Journal of the European Mathematical Society

Let $π : Z \to X$ 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...

Problème de Brill-Noether pour les fibrés de Steiner. Applications aux courbes gauches

Ph. Ellia, A. Hirschowitz, L. Manivel (1999)

Annales scientifiques de l'École Normale Supérieure

Pryum varieties and the Verlinde formula.

Bert van Geemen, Emma Previato (1992)