Pencils of quadrics and hyperelliptic curves in characteristic two.
Period matrices of Accola-MacLachlan and Kulkarni surfaces.
Period Matrices of hyperelliptic curves.
Poincaré bundles for families of curves.
Polarizations of Prym varieties for Weyl groups via abelianization
Let be a Galois covering of smooth projective curves with Galois group the Weyl group of a simple and simply connected Lie group . For any dominant weight consider the curve . The Kanev correspondence defines an abelian subvariety of the Jacobian of . We compute the type of the polarization of the restriction of the canonical principal polarization of to in some cases. In particular, in the case of the group we obtain families of Prym-Tyurin varieties. The main idea is the use of...
Principal polarizations of Prym-Tjurin varieties
Prym varietes of bi-elliptic curves.
Prym varieties and the canonical map of surfaces of general type
Prym Varieties and the Schottky Problem.
Prym varieties of pairs of coverings.
Prym Varieties of Triple Cyclic Covers.
Prym-Tjurin varieties and the Hitchin map.