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Parametrizing Arf numerical semigroups. (English) Zbl 1483.20100

Summary: 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.

MSC:

20M14 Commutative semigroups
11D07 The Frobenius problem

Software:

numericalsgps; GAP

References:

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