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An application of type sequences to the blowing-up

Anna Oneto, Elsa Zatini

math.ACarXiv:math/0603243

Abstract

Let I be an m-primary ideal of a one-dimensional, analytically irreducible and residually rational local Noetherian domain R. Given the blowing-up of R along I we establish connections between the type-sequence of R and classical invariants like multiplicity, genus and reduction exponent of I.

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