Calcolo del conduttore di curve algebriche e ideali di punti
Chains on the Eggers tree and polar curves.
Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility
In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.
Characterization of non-degenerate plane curve singularities.
Characterization of the Hilbert-Samuel polynomials of curve singularities
Cohen-Macaulay module type
Cohomology of moduli spaces of stable curves.
Combinations of rational singularities on plane sextic curves with the sum of Milnor numbers less than sixteen
Compactification of the space of vector bundles on a singular curve.
Compactified Jocobian of some unibranch curves.
Computing limit linear series with infinitesimal methods
Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest multiplicity of the fat points. Their method is based on a lemma which determines the limit of a linear system depending on fat points approaching a divisor.Other Hilbert functions were computed previously by Nagata. In connection with his counter-example to Hilbert’s fourteenth problem, Nagata determined the Hilbert function...
Construcción canónica de cuspides y aproximación a su jacobiana.
Correction to the gonality of smooth curves with plane models.
Cotangent Functors of Curve Singularities.
Courbes de semi-groupe donné.
Courbes lisses qui ne sont pas intersection de 3 surfaces dans l'espace projectif
Coverings of Singular curves over Finite Fields.
Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.
Curves in P2(C) with 1-dimensional symmetry.
In a previous paper we showed that the existence of a 1-parameter symmetry group of a hypersurface X in projective space was equivalent to failure of versality of a certain unfolding. Here we study in detail (reduced) plane curves of degree d ≥ 3, excluding the trivial case of cones. We enumerate all possible group actions -these have to be either semisimple or unipotent- for any degree d. A 2-parameter group can only occur if d = 3. Explicit lists of singularities of the corresponding curves are...