Poincaré series of a rational surface singularity.

A Campillo, F Delgado… - Inventiones …, 2004 - search.ebscohost.com
A Campillo, F Delgado, SM Gusein-Zade
Inventiones mathematicae, 2004search.ebscohost.com
Reports on the application of the notion of the integral with respect to the Euler characteristic
over the projectivization of the space of germs of functions, for computing the Poincare
series of a (natural) multi-index filtration on the ring of germs of functions on a rational
surface singularity. Ways to describe a multi-index filtration in terms similar to the usual
Poincare series for one-index filtrations.
Abstract
Reports on the application of the notion of the integral with respect to the Euler characteristic over the projectivization of the space of germs of functions, for computing the Poincare series of a (natural) multi-index filtration on the ring of germs of functions on a rational surface singularity. Ways to describe a multi-index filtration in terms similar to the usual Poincare series for one-index filtrations.
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