22 citations · 28 across the 5 of their papers we have counts for
6 papers
The minimal Tjurina number of irreducible germs of plane curve singularities
Maria Alberich-Carramiñana, Patricio Almirón, Guillem Blanco +1
In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve sing…
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.…
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{…
On some conjectures about free and nearly free divisors
Enrique Artal Bartolo, Leire Gorrochategui, Ignacio Luengo +1
In this paper infinite families of examples of irreducible free and nearly free curves in the complex projective plane which are not rational curves and whose local singularites ca…
High-school algebra of the theory of dicritical divisors: atypical fibres for special pencils and polynomials
E. Artal Bartolo, I. Luengo, A. Melle-Hernández
In this work we deal with dicritical divisors, curvettes and polynomials. These objects have been one of the main research interests of S.S. Abhyankar during his last years. In thi…
Higher order generalized Euler characteristics and generating series
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
For a complex quasi-projective manifold with a finite group action, we define higher order generalized Euler characteristics with values in the Grothendieck ring of complex quasi-p…