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Multiplicity sequence and value semigroup |
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| Authors: | Karl-Heinz Kiyek |
| Institution: | (1) Fachbereich Mathematik — Informatik, Universität Paderborn, Warburger Straße 100, 4790 Paderborn, Germany |
| Abstract: | Let k be an arbitrary field, F  kX,Y]] irreducible and residually rational over k, A=kX,Y]] / (F). We give a short proof for the formulae expressing the multiplicity sequence of A in terms of generators of its value semigroup and vice versa. |
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