Galois Coverings of the Non-Archimedean Projective Line.
Gap orders of rational functions on plane curves with few singular points.
Géométrie asymptotique des courbes algébriques
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...
Good Embedding Dimensions for Gorenstein Singularities.
Groenstein curves and symmetry of the semigroup of values.