36 citations · 137 across the 74 of their papers we have counts for
5 papers · 1 filter
The Poincare series of divisorial valuations in the plane defines the topology of the set of divisors
A. Campillo, F. Delgado, S. M. Gusein-Zade
To a plane curve singularity one associates a multi-index filtration on the ring of germs of functions of two variables defined by the orders of a function on irreducible component…
On indices of 1-forms on determinantal singularities
W. Ebeling, S. M. Gusein-Zade
We consider 1-forms on, so called, essentially isolated determinantal singularities (a natural generalization of isolated ones), show how to define analogues of the Poincaré--Hopf…
An equivariant version of the monodromy zeta function
S. M. Gusein-Zade, I. Luengo, A. Melle Hernandez
We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the…
Generating series of classes of Hilbert schemes of points on orbifolds
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez
In this short note we use the notion of power structure over the Grothendieck ring of complex algebraic varieties to study generating series of classes of Hilbert schemes of points…
Poincare series of filtrations corresponding to ideals on surfaces
A. Campillo, F. Delgado, S. M. Gusein-Zade
Earlier the authors considered and, in some cases, computed Poincare series of two sorts of multi-index filtrations on the ring of germs of functions on a complex (normal) surface…