7 citations · 25 across the 20 of their papers we have counts for
20 papers
Algebraic links in the Poincaré sphere and the Alexander polynomials
A. Campillo, F. Delgado, S. M. Gusein-Zade
The Alexander polynomial in several variables is defined for links in three-dimensional homology spheres, in particular, in the Poincaré sphere: the intersection of the surface $S=…
On the topological type of a set of plane valuations with symmetries
A. Campillo, F. Delgado, S. M. Gusein-Zade
Let be a set of irreducible plane curve singularities. For an action of a finite group , let be the Alexander polynomial in $r\vert…
Equivariant Poincaré series and topology of valuations
A. Campillo, F. Delgado, S. M. Gusein-Zade
The equivariant with respect to a finite group action Poincaré series of a collection of valuations was defined earlier as a power series in variables with the coefficients…
On Poincaré series of filtrations
A. Campillo, F. Delgado, S. M. Gusein-Zade
In this survey one discusses the notion of the Poincaré series of multi-index filtrations, an alternative approach to the definition, a method of computation of the Poincaré series…
Hilbert function, generalized Poincaré series and topology of plane valuations
A. Campillo, F. Delgado, S. M. Gusein-Zade
To a multi-index filtration (say, on the ring of germs of functions on a germ of a complex analytic variety) one associates several invariants: the Hilbert function, the Poincaré s…
Poincaré series for filtrations defined by discrete valuations with arbitrary center
Antonio Campillo, Ann Lemahieu
To study singularities on complex varieties we study Poincaré series of filtrations that are defined by discrete valuations on the local ring at the singularity. In all previous pa…