An application of type sequences to the blowing-up

Mathematics – Commutative Algebra

Scientific paper

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19 pages

Scientific paper

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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