On special values for pencils of plane curve singularities.
On Stable and Ample Vector Bundles of Rank 2 on Curves.
On Stöhr-Voloch's proof of Weil's Theorem.
On Subvarieties of Abelian Varieties.
On supercuspidal families of curves on a surface in positive characteristic.
On supersingular curves and Abelian varieties.
On symmetric square values of quadratic polynomials
On Teichmüller modular forms.
On the Abel-Jacobi map for divisors of higher rank on a curve.
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the addition of the double ...-functions.
On the analogue of the division polynomials for hyperelliptic curves.
On the analytic solution of the equation of fifth degree
On the arithmetic of an elliptic curve over a -extension
On the arithmetic of J0 (N) new.
On the arithmetic of the hyperelliptic curve
We study the arithmetic properties of hyperelliptic curves given by the affine equation by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang’s conjecture about the covering radius (for some special covering maps).
On the automorphism groups of algebraic bounded domains.
On the Beckmann-Black problem
On the birational gonalities of smooth curves
Let C be a smooth curve of genus g. For each positive integer r the birational r-gonality sr(C) of C is the minimal integer t such that there is L ∈ Pict(C) with h0(C,L) = r + 1. Fix an integer r ≥ 3. In this paper we prove the existence of an integer gr such that for every integer g ≥ gr there is a smooth curve C of genus g with sr+1(C)/(r + 1) > sr(C)/r, i.e. in the sequence of all birational gonalities of C at least one of the slope inequalities fails
On the Birch and Swinnerton-Dyer Conjecture.