7 citations · 11 across the 5 of their papers we have counts for
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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…
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…
Equisingular Deformations of Plane Curves in Arbitrary Characteristic
Antonio Campillo, Gert-Martin Greuel, Christoph Lossen
In this paper we develop the theory of equisingular deformations of plane curve singularities in arbitrary characteristic. We study equisingular deformations of the parametrization…
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…