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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…
math.AG2008
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…