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.
An application of type sequences to the blowing-up
ONETO, ANNA;ZATINI, ELSA
2005-01-01
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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