Fibre de Milnor d'un cône sur une courbe plane singulière.
Five-gonal curves of genus nine.
Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g15 on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g15 on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.
Fonctions -adiques à deux variables et -extensions
Fonctions -adiques attachées à une courbe elliptique
Footnotes to a Paper of Beniamino Segre. The Number of g1d's on a General d-Gonal Curve, and the Unirationality of the Hurwitz Spaces of 4-Gonal and 5-Gonal Curves.
Formal groups in genus two.
Formelle Standardmodelle hyperelliptischer Kurven.
Galois Coverings of the Non-Archimedean Projective Line.
Gap orders of meromorphic functions on Riemann surfaces.
Generators for the Derivation modules and the relation ideals of certain curves.
Generic Curves of Small Genus in IP3 are of Maximal Rank.
Generic Zariski surfaces
Genre des courbes algébriques dans l'espace projectif
Genre des courbes de l'espace projectif. II
Genus 3 normal coverings of the Riemann sphere branched over 4 points.
In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families.
Genus one curves defined by separated variable polynomials and a polynomial Pell equation
Géométrie des tissus
Geometrische Deutung der Additionstheoreme der hyperelliptischen Integrale und Functionen 1. Ordnung im System der confocalen Flächen 2. Grades. (Schluss)
Geometrische Deutung der Additionstheoreme der hyperelliptischen Integrale und Functionen 1. Ordnung im System der confocalen Flächen 2. Grades.
Geometry of Puiseux expansions
We consider the space Curv of complex affine lines t ↦ (x,y) = (ϕ(t),ψ(t)) with monic polynomials ϕ, ψ of fixed degrees and a map Expan from Curv to a complex affine space Puis with dim Curv = dim Puis, which is defined by initial Puiseux coefficients of the Puiseux expansion of the curve at infinity. We present some unexpected relations between geometrical properties of the curves (ϕ,ψ) and singularities of the map Expan. For example, the curve (ϕ,ψ) has a cuspidal singularity iff it is a critical...