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Semigroups corresponding to branches at infinity of coordinate lines in the affine plane

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Abstract

We characterize in terms of characteristic sequences the semigroups corresponding to branches at infinity of plane affine curves \(\Gamma \) for which there exists a polynomial automorphism mapping \(\Gamma \) onto the axis \(x=0\).

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Acknowledgments

The first-named author was partially supported by the Spanish Project MTM2012-36917-C03-01

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Authors and Affiliations

  1. Sección de Matemáticas, Departamento de Matemáticas, Estadística e I.O., Universidad de La Laguna, 38200, La Laguna, Tenerife, España

    Evelia R. García Barroso

  2. Institute of Mathematics, Pedagogical University of Cracow, Podchora̧żych 2, 30-084, Cracow, Poland

    Janusz Gwoździewicz

  3. Department of Mathematics, Kielce University of Technology, Al. 1000 L PP7, 25-314, Kielce, Poland

    Arkadiusz Płoski

Authors
  1. Evelia R. García Barroso
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  2. Janusz Gwoździewicz
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  3. Arkadiusz Płoski
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Corresponding author

Correspondence to Evelia R. García Barroso.

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Communicated by Fernando Torres.

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García Barroso, E.R., Gwoździewicz, J. & Płoski, A. Semigroups corresponding to branches at infinity of coordinate lines in the affine plane. Semigroup Forum 92, 534–540 (2016). https://doi.org/10.1007/s00233-015-9693-5

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  • DOI: https://doi.org/10.1007/s00233-015-9693-5

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