no. 1
A numerical criterion for the permissibility of a blowing-up
Compositio Mathematica, Tome 33 (1976) no. 1, pp. 15-28 
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     publisher = {Noordhoff International Publishing},
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     number = {1},
     mrnumber = {419435},
     zbl = {0335.14003},
     language = {en},
     url = {https://www.numdam.org/item/CM_1976__33_1_15_0/}
}
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Singh, Balwant. A numerical criterion for the permissibility of a blowing-up. Compositio Mathematica, Tome 33 (1976) no. 1, pp. 15-28. https://www.numdam.org/item/CM_1976__33_1_15_0/

[1] Bennet, B.M.: On the characteristic functions of a local ring. Ann. of Math. 91 (1970) 25-87. | Zbl | MR

[2] Grothendieck, A.: Eléments de géométrie algébrique. Publications Mathématiques (1960). | Numdam

[3] Hironaka, H.: Resolution of singularities, Ann. of Math. 79 (1964) 109-326. | Zbl | MR

[4] Hironaka, H.: Certain numerical characters of singularities. J. Math. Kyoto Univ. 10-1 (1970) 151-187. | Zbl | MR

[5] Nagata, M.: Local Rings, Interscience, 1962. | Zbl | MR

[6] Singh, B.: Effect of a permissible blowing-up on the local Hilbert functions. Inventiones math. 26 (1974) 201-212. | Zbl | MR