Parametrizing Arf numerical semigroups

P. A. García-Sánchez; B. A. Heredia; H. Karakaş; J. C. Rosales

doi:10.1142/S0219498817502097

Parametrizing Arf numerical semigroups

P. A. García-Sánchez, B. A. Heredia, H. Karakaş, J. C. Rosales

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

Original language	English
Article number	1750209
Number of pages	31
Journal	JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume	16
Issue number	11
DOIs	https://doi.org/10.1142/S0219498817502097
Publication status	Accepted/In press - 2017

Keywords

Arf
Frobenius number
genus
integer partition
Kunz coordinates
multiplicity
Numerical semigroup

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10.1142/S0219498817502097

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keywords = "Arf, Frobenius number, genus, integer partition, Kunz coordinates, multiplicity, Numerical semigroup",

author = "Garc{\'i}a-S{\'a}nchez, {P. A.} and Heredia, {B. A.} and H. Karaka{\c s} and Rosales, {J. C.}",

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AU - García-Sánchez, P. A.

AU - Heredia, B. A.

AU - Karakaş, H.

AU - Rosales, J. C.

N1 - sem pdf conforme despacho. FEDER - MTM2014-55367- P ; FQM343

PY - 2017

Y1 - 2017

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AB - We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.

KW - Arf

KW - Frobenius number

KW - genus

KW - integer partition

KW - Kunz coordinates

KW - multiplicity

KW - Numerical semigroup

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U2 - 10.1142/S0219498817502097

DO - 10.1142/S0219498817502097

M3 - Article

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JF - JOURNAL OF ALGEBRA AND ITS APPLICATIONS

SN - 0219-4988

IS - 11

M1 - 1750209

ER -

Parametrizing Arf numerical semigroups

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Keywords

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