Idempotent relations and factors of Jacobians.
Invariants symétriques et fibrés vectoriels sur les courbes.
Local-to-global extensions of representations of fundamental groups
Let be a field of characteristic , a proper, smooth, geometrically connected curve over , and 0 and two -rational points on . We show that any representation of the local Galois group at extends to a representation of the fundamental group of which is tamely ramified at 0, provided either that is separately closed or that is . In the latter case, we show there exists a unique such extension, called “canonical”, with the property that the image of the geometric fundamental group...
Moduli of Prym curves.
Monodromy of a class of logarithmic connections on an elliptic curve.
Multiple prime covers of the riemann sphere
A compact Riemann surface X of genus g≥2 which admits a cyclic group of automorphisms C q of prime order q such that X/C q has genus 0 is called a cyclic q-gonal surface. If a q-gonal surface X is also p-gonal for some prime p≠q, then X is called a multiple prime surface. In this paper, we classify all multiple prime surfaces. A consequence of this classification is a proof of the fact that a cyclic q-gonal surface can be cyclic p-gonal for at most one other prime p.
Multiplicative character sums and Kummer coverings
On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.
On deformation of maximally degenerate stable marked curves and Oda's problem.
On galois automorphisms of the fundamental group of the projective line minus three points.
On Galois module structure of the cohomology groups of an algebraic variety.
On Galois representations arising from towers of coverings of P1 ... .
On -adic uniformization
On Stable and Ample Vector Bundles of Rank 2 on Curves.
On the Beckmann-Black problem
On the deformation of Artin-Schreier to Kummer
On the determinant of periods with finite monodromy.
On the Diophantine equation f(y) - x = 0
On the Euler number of an orbifold.
On the Hodge cycles of Prym varieties
We show that the Néron–Severi group of the Prym variety for a degree three unramified Galois covering of a hyperelliptic Riemann surface has a distinguished subgroup of rank three. For the general hyperelliptic curve, the algebra of Hodge cycles on the Prym variety is generated by this group of rank three.