Multi-variable Poincaré series associated with Newton diagrams

2009/05/30 by Wolfgang Ebeling, Ebeling, Wolfgang, Sabir M. Gusein-Zade +1
Mathematics · #14M25 #16W70 #32S05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14M25 #msc:16W70 #msc:32S05

paper · pdf · doi:10.48550/arxiv.0906.0081

arxiv created 2009/05/30 · arxiv updated 2009/12/01

Abstract

We define a multi-index filtration on the ring of germs of functions on a hypersurface singularity associated with its Newton diagram and compute the multivariable Poincaré series of this filtration in some cases.

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