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Constructing the set of complete intersection numerical semigroups with a given Frobenius number

Abstract : Delorme suggested that the set of all complete intersection numerical semigroups can be computed recursively. We have implemented this algorithm, and particularized it to several subfamilies of this class of numerical semigroups: free and telescopic numerical semigroups, and numerical semigroups associated to an irreducible plane curve singularity. The recursive nature of this procedure allows us to give bounds for the embedding dimension and for the minimal generators of a semigroup in any of these families.
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https://hal.archives-ouvertes.fr/hal-00688929
Contributor : Abdallah Assi Connect in order to contact the contributor
Submitted on : Saturday, January 19, 2013 - 9:55:47 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:52 AM
Long-term archiving on: : Saturday, April 20, 2013 - 3:53:38 AM

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  • HAL Id : hal-00688929, version 3
  • ARXIV : 1204.4258

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Abdallah Assi, Pedro A. García-Sánchez. Constructing the set of complete intersection numerical semigroups with a given Frobenius number. 2012. ⟨hal-00688929v3⟩

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