On the jacobian variety of some algebraic curves
On the Néron model of jacobians of Shimura curves
On the ordinarity of the maximal real subfield of cyclotomic function fields
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
On the Partial Derivatives of Thetafunctions
On the Structure of the Birational Abel Morphism.
On translation invariance for Wrd.
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.
Quadrics of rank four in the ideal of a canonical curve.
Quartic del Pezzo surfaces over function fields of curves
We classify quartic del Pezzo surface fibrations over the projective line via numerical invariants, giving explicit examples for small values of the invariants. For generic such fibrations, we describe explicitly the geometry of spaces of sections to the fibration, and mappings to the intermediate Jacobian of the total space. We exhibit examples where these are birational, which has applications to arithmetic questions, especially over finite fields.