v-quasi-ordinary and quasi-ordinary power series
by
Pierette Cassou-Noguès
Université Bordeaux 1, France
Coauthors: E. Artal Bartolo, I. Luengo, A. Melle

Let K be a field of characteristic 0. In this talk, we will associate to v-quasi-ordinary power series, decorated trees, that we call Newton trees. In the case of curves, these trees are an algebraic version of the splice diagrams introduced by Eisenbud and Neumann. We will give some applications of these trees such as the computation of the discriminant of a quasi-ordinary power series.

Date received: April 14, 2005