3 papers
math.AG2025
Local motivic invariants of rational functions in two variables
Pierrette Cassou-Noguès, Michel Raibaut
Let and be two polynomials in two variables with coefficients in an algebraic closed field of characteristic zero. We consider the rational function . For an indeter…
math.AG2025
Milnor number of plane curve singularities in arbitrary characteristic
Enrique Artal Bartolo, Pierrette Cassou-Noguès
Reduced power series in two variables with coefficients in a field of characteristic zero satisfy a well-known formula that relates a codimension related to the normalization of a…
math.AG2024
Decorated trees
Pierrette Cassou-Noguès, Daniel Daigle
We study a class of combinatorial objects that we call "decorated trees". These consist of vertices, arrows and edges, where each edge is decorated by two integers (one near each o…