On the monodromy of curve singularities.
On the Poles of a Local Zeta Function for Curves.
On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field.
On the singularities of Polar curves.
On the structure of non-excellent curve singularities in characteristic
One-Dimensional Local Rings with Reduced Associated Graded Ring and Their Hilbert Functions.
Optimal degree construction of real algebraic plane nodal curves with prescribed topology. I. The orientable case.
We study a constructive method to find an algebraic curve in the real projective plane with a (possibly singular) topological type given in advance. Our method works if the topological model T to be realized has only double singularities and gives an algebraic curve of degree 2N+2K, where N and K are the numbers of double points and connected components of T. This degree is optimal in the sense that for any choice of the numbers N and K there exist models which cannot be realized algebraically with...