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Effect of a permissible blowing-up on the local Hilbert functions. (English) Zbl 0266.14005

MSC:
14A15 Schemes and morphisms
13H15 Multiplicity theory and related topics
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References:
[1] Bennett, B. M.: On the characteristic functions of a local ring. Ann. of Math.91, 25?87 (1970) · Zbl 0198.06101
[2] Grothendieck, A.: Elèments de géométrie algébrique. Publications Mathematiques 1960
[3] Hironaka, H.: Resolution of Singularities. Ann. of Math.79, 109?326 (1964) · Zbl 0122.38603
[4] Hironaka, H.: Certain numerical characters of singularities. J. Math. Kyoto Univ.10-1, 151?187 (1970) · Zbl 0214.20003
[5] Nagata, M.: Local Rings. New York: Interscience 1962 · Zbl 0123.03402
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