activity
19982024
most citedQuasi-ordinary power series and their zeta functions

39 citations · 99 across the 25 of their papers we have counts for

collaborators

26 papers

math.AG2024

On the universal and generalized orbifold Euler characteristics

Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernández +1

We discuss the universal orbifold Euler characteristic and generalized orbifold Euler characteristics corresponding to finitely generated groups (the -Euler characteristics)…

math.AG2023

Grothendieck ring of pairs of quasi-projective varieties

Sabir M. Gusein-Zade, Ignacio Luengo, Alejandro Melle-Hernández

We define a Grothendieck ring of pairs of complex quasi-projective varieties (that is a variety and a subvariety). We describe -structures and a power structure on/over this rin…

math.AG2019

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…

math.AG2018

On the -exponents of generic isolated plane curve singularities

E. Artal Bartolo, P. Cassou Noguès, I. Luengo +1

In 1982, Tamaki Yano proposed a conjecture predicting how is the set of -exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class.…

math.GT2018

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…

math.AG2016

Bernstein polynomial of 2-Puiseux pairs irreducible plane curve singularities

E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo +1

In 1982, Tamaki Yano proposed a conjecture predicting the set of b-exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In \cite{…