2 papers
math.AG2026
Algorithm for motivic Hilbert zeta function of some curve singularities
Yizi Chen, Hussein Mourtada, Wenhao Zhu
We develop algorithms to compute two versions of the motivic Hilbert zeta function for curve singularities: the classical version, applicable to singularities with a monomial valua…
math.AG2026
On the geometry of punctual Hilbert schemes on singular curves and their motivic zeta functions
Mounir Hajli, Hussein Mourtada, Wenhao Zhu
Inspired by the work of Soma and Watari, we define a tree structure on certain subsemimodules of the semigroup associated with an irreducible plane curve singularity .…