On the singularities of almost-simple plane curves

On the Existence of Plane Curves with Prescribed Singularities

Efficient Resolution of Singularities of Plane Curves

We give a new algorithm for resolving singularities of plane curves. The algorithm is polynomial time in the bit complexity model, does not require factorization, and works over Q or finite fields.

Deformations of Singularities of Plane Curves

In this paper we present some new results in the deformation theory of plane curve singularities. The methods rely on the study of analytic properties of linear non homogeneous ODE’s.

Eecient Resolution of Singularities of Plane Curves

We give a new algorithm for resolving singularities of plane curves. The algorithm is polynomial time in the bit complexity model, does not require factorization, and works over Q or nite elds.

Resolution of Singularities for Plane Curves