36 citations · 137 across the 74 of their papers we have counts for
3 papers · 2 filters
Multi-variable Poincaré series associated with Newton diagrams
Wolfgang Ebeling, Sabir M. Gusein-Zade
We define a multi-index filtration on the ring of germs of functions on a hypersurface singularity associated with its Newton diagram and compute the multivariable Poincaré series…
On generating series of classes of equivariant Hilbert schemes of fat points
S. M. Gusein-Zade, I. Luengo, A. Melle Hernandez
In previous papers the authors gave formulae for generating series of classes (in the Grothendieck ring of complex quasi-projective varieties) of Hilbert schemes of zero-dimensiona…
Poincare series of collections of plane valuations
A. Campillo, F. Delgado, S. M. Gusein-Zade +1
In earlier papers there were given formulae for the Poincare series of multi-index filtrations on the ring of germs of functions of two variables defined by collections of valuatio…