12 citations · 32 across the 16 of their papers we have counts for
16 papers
Generalized orbifold Euler characteristics on the Grothendieck ring of varieties with actions of finite groups
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
The notion of the orbifold Euler characteristic came from physics at the end of 80's. There were defined higher order versions of the orbifold Euler characteristic and generalized…
The universal Euler characteristic of V-manifolds
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
The Euler characteristic is the only additive topological invariant for spaces of certain sort, in particular, for manifolds with some finiteness properties. A generalization of th…
On an equivariant version of the zeta function of a transformation
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez
Earlier the authors offered an equivariant version of the classical monodromy zeta function of a G-invariant function germ with a finite group G as a power series with the coeffici…
On piecewise isomorphism of some varieties
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez
Two quasi-projective varieties are called piecewise isomorphic if they can be stratified into pairwise isomorphic strata. We show that the m-th symmetric power of the co…
On `maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks
A. Melle-Hernández, T. Torrelli, Willem Veys
The main objects of study in this paper are the poles of several local zeta functions: the Igusa, topological and motivic zeta function associated to a polynomial or (germ of) holo…
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…