7 citations · 11 across the 5 of their papers we have counts for
5 papers
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…
Generating sequences and Poincaré series for a finite set of plane divisorial valuations
F. Delgado, C. Galindo, A. Núñez
Let be a finite set of divisorial valuations centered at a 2-dimensional regular local ring . In this paper we study its structure by means of the semigroup of values, …
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…
Universal abelian covers of rational surface singularities and multi-index filtrations
A. Campillo, F. Delgado, S. M. Gusein-Zade
In previous papers, there were computed the Poincare series of some (multi-index) filtrations on the ring of germs of functions on a rational surface singularity. These Poincare se…
Multi-index filtrations and motivic Poincare series
Antonio Campillo, Felix Delgado, Sabir M. Gusein-Zade
The Poincare series of a multi-index filtration on the ring of germs of functions can be written as a certain integral with respect to the Euler characteristic over the projectiviz…