1 citations · 1 across the 7 of their papers we have counts for
10 papers
Elliptic divisibility sequences and undecidable problems about rational points
Gunther Cornelissen, Karim Zahidi
Julia Robinson has given a first-order definition of the rational integers Z in the rational numbers Q by a formula (\forall \exists \forall \exists)(F=0) where the \forall-quantif…
Relevements des revetements de courbes faiblement ramifies (Lifts of weakly ramified coverings of curves)
Gunther Cornelissen, Ariane Mezard
Let X be a smooth projective curve over a field of characteristic p>0 and G a finite group of automorphism of X. Let n(X,G) be the characteristic of the versal equivariant deformat…
Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004)
I. Bouw, T. Chinburg, G. Cornelissen +7
Contents: Rational functions with given monodromy on generic curves (I. Bouw & S. Wewers); Can deformation rings of group representations not be local complete intersections? (T. C…
Division-ample sets and the Diophantine problem for rings of integers
Gunther Cornelissen, Thanases Pheidas, Karim Zahidi
We prove that Hilbert's Tenth Problem for a ring of integers in a number field K has a negative answer if K satisfies two arithmetical conditions (existence of a so-called division…
Torsion of Drinfeld modules and equicharacteristic unimodular Galois covers
Gunther Cornelissen, Marina Tripolitaki
We prove that the groups PSL(r,q^d) can be realized F_q(T)-regularly as Galois groups over the purely transcendental field F_q(T)(t_1,...,t_{r-1}) if r is even and r/2 is coprime t…
Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8
Gunther Cornelissen, Fumiharu Kato
A Mumford curve of genus g=5,6,7 or 8 over a non-archimedean field of characteristic p (such that if p=0, the residue field characteristic exceeds 5) has at most 12(g-1) automorphi…