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arxiv: 0906.0081 · v1 · submitted 2009-05-30 · 🧮 math.AG

Multi-variable Poincar\'e series associated with Newton diagrams

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keywords associatedfiltrationnewtonpoincarseriescasescomputedefine
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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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