A generalization of a theorem about gapsets with depth at most 3

Bernardini, Matheus; Melo, Patrick

doi:10.2140/involve.2023.16.313

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A generalization of a theorem about gapsets with depth at most 3

Matheus Bernardini and Patrick Melo

Vol. 16 (2023), No. 2, 313–319

DOI: 10.2140/involve.2023.16.313

Abstract

We provide a generalization of a theorem proved by Eliahou and Fromentin which exhibits a remarkable property of the sequence $(n_{g}^{'})$ , where $n_{g}^{'}$ denotes the number of gapsets with genus $g$ and depth at most 3.

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Keywords

numerical semigroup, gapset, Kunz coordinates, depth, level

Mathematical Subject Classification

Primary: 20M14, 05A15

Secondary: 05A19

Milestones

Received: 18 February 2022

Revised: 7 April 2022

Accepted: 18 May 2022

Published: 26 May 2023

Communicated by Nathan Kaplan

Authors

Matheus Bernardini
Faculdade do Gama Universidade de Brasília Brasília Brazil

Patrick Melo
Faculdade do Gama Universidade de Brasília Brasília Brazil

Vol. 16, No. 2, 2023