Gapsets of small multiplicity

Abstract : A gapset is the complement of a numerical semigroup in N. In this paper, we characterize all gapsets of multiplicity m ≤ 4. As a corollary, we provide a new simpler proof that the number of gapsets of genus g and fixed multiplicity m ≤ 4 is a nondecreasing function of g.
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https://hal.archives-ouvertes.fr/hal-02059925
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Submitted on : Friday, March 8, 2019 - 8:54:57 PM
Last modification on : Friday, March 15, 2019 - 1:14:01 AM
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  • HAL Id : hal-02059925, version 2
  • ARXIV : 1903.03463

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Shalom Eliahou, Jean Fromentin. Gapsets of small multiplicity. 2019. ⟨hal-02059925v2⟩

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