Geodesic
Multi-variable Poincaré series associated with Newton diagrams
Journal of Singularities, Tome 1 (2010), pp. 60-68

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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 Poincaré series of this filtration in some cases.
DOI : 10.5427/jsing.2010.1d
Classification : 32S05, 14M25, 16W70 
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     author = {W. Ebeling and S. M. Gusein-Zade},
     title = {Multi-variable {Poincar\'e} series associated with {Newton} diagrams},
     journal = {Journal of Singularities},
     pages = {60--68},
     publisher = {mathdoc},
     volume = {1},
     year = {2010},
     doi = {10.5427/jsing.2010.1d},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.1d/}
}
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W. Ebeling; S. M. Gusein-Zade. Multi-variable Poincaré series associated with Newton diagrams. Journal of Singularities, Tome 1 (2010), pp. 60-68. doi: 10.5427/jsing.2010.1d

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