Lattices over curve singularities with large conductor.
Le groupe de monodromie du déploiement des singularités isolées de courbes planes I.
Les anneaux coniques sont de Cohen-Macaulay, d'après A. G. Kouchnirenko
Local moduli for plane curve singularities, the dimension of the ...-constant stratum.
Local symplectic algebra of quasi-homogeneous curves
We study the local symplectic algebra of parameterized curves introduced by V. I. Arnold. We use the method of algebraic restrictions to classify symplectic singularities of quasi-homogeneous curves. We prove that the space of algebraic restrictions of closed 2-forms to the germ of a 𝕂-analytic curve is a finite-dimensional vector space. We also show that the action of local diffeomorphisms preserving the quasi-homogeneous curve on this vector space is determined by the infinitesimal action of...
Moduli of plane curve singularities with C*-action
Multi-Harnack smoothings of real plane branches
Let be an integral convex polygon. G. Mikhalkin introduced the notion ofHarnack curves, a class of real algebraic curves, defined by polynomials supported on and contained in the corresponding toric surface. He proved their existence, viaViro’s patchworkingmethod, and that the topological type of their real parts is unique (and determined by ). This paper is concerned with the description of the analogous statement in the case of a smoothing of a real plane branch . We introduce the class...
Multiplicity Sequence and Value Semigroup.
Multiplizitäten "unendlich-ferner" Spitzen.
Nodal curves in
Siano , , interi con ; se esiste in una curva connessa, non singolare di grado e genere , allora esiste in una curva irriducibile di grado , genere aritmetico e nodi.
Nodal deformations of singularities.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Nœuds algébriques
Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.
Normal forms and moduli spaces of curve singularities with semigroup
Note sur les courbes planes d’ordre à point multiple d’ordre
On a class of rational cuspidal plane curves.
On deformations of monomial curves
On inflection points of some type of quartics with a single triple point
On inflection points of the plane quartic with two nodal and one flexnodal points
On multiplicities of points on Schubert varieties in Grassmannians.
On nodal plane curves.