no. 2
Characterization of the Hilbert-Samuel polynomials of curve singularities
Compositio Mathematica, Tome 74 (1990) no. 2, pp. 135-155 
@article{CM_1990__74_2_135_0,
     author = {Elias, Juan},
     title = {Characterization of the {Hilbert-Samuel} polynomials of curve singularities},
     journal = {Compositio Mathematica},
     pages = {135--155},
     year = {1990},
     publisher = {Kluwer Academic Publishers},
     volume = {74},
     number = {2},
     mrnumber = {1047736},
     zbl = {0724.13021},
     language = {en},
     url = {https://www.numdam.org/item/CM_1990__74_2_135_0/}
}
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Elias, Juan. Characterization of the Hilbert-Samuel polynomials of curve singularities. Compositio Mathematica, Tome 74 (1990) no. 2, pp. 135-155. https://www.numdam.org/item/CM_1990__74_2_135_0/

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