Multi-variable Poincaré series associated with Newton diagrams

Details Multi-variable Poincaré series associated with Newton diagrams Multi-variable Poincaré series associated with Newton diagrams

2009-05-30

arxiv.org/abs/0906.0081v1

Mathematics

Algebraic Geometry

Scientific paper

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 Poincar\'e series of this filtration in some cases.

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