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Equimultiplicity, reduction, and blowing up. (English) Zbl 0508.13013
Commutative algebra: analytical methods, Conf. Fairfax/Va. 1979, Lect. Notes Pure Appl. Math. 68, 111-147 (1982).

13H15 Multiplicity theory and related topics
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
32S05 Local complex singularities
14B05 Singularities in algebraic geometry
32B05 Analytic algebras and generalizations, preparation theorems