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On finite determinacy of complete intersection singularities (1705.08985v2)
Published 24 May 2017 in math.CV and math.AC
Abstract: We give an elementary combinatorial proof of the following fact: Every real or complex analytic complete intersection germ X is equisingular -- in the sense of the Hilbert-Samuel function -- with a germ of an algebraic set defined by sufficiently long truncations of the defining equations of X.