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...