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Journal of Singularities
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. * Partially supported by the DFG-programme "Representation Theory" (Eb 102/6-1), RFBR-10-01-00678, NSh-709.2008.1.doi:10.5427/jsing.2010.1d fatcat:xadh4aknp5cbvctr3zkgbhbcvu