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Peer-reviewedCC BY 4.0Semigroup Forum

ON CURVES WITH ONE PLACE AT INFINITY

  • Abdallah Assi
  • Wael Mahboub
Open at sourcePDFCite

Abstract

Let K be an algebraically closed field of characteristic zero. Many of the geometric properties of the plane curves in K2 with one place at infinity can be obtained from the arithmetic of numerical semigroups associated with these curves. In this survey, we recall the main properties of these semigroups as well as the geometric results obtained from these properties. We also address some problems.

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Cite

BibTeXRIS
BibTeX
@article{assi2026curves,
  title = {{ON CURVES WITH ONE PLACE AT INFINITY}},
  author = {Abdallah Assi and Wael Mahboub},
  journal = {Semigroup Forum},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05752335v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - ON CURVES WITH ONE PLACE AT INFINITY
AU  - Abdallah Assi
AU  - Wael Mahboub
PY  - 2026
DA  - 2026/09/16
JO  - Semigroup Forum
UR  - https://hal.science/hal-05752335v1
AB  - Let K be an algebraically closed field of characteristic zero. Many of the geometric properties of the plane curves in K2 with one place at infinity can be obtained from the arithmetic of numerical semigroups associated with these curves. In this survey, we recall the main properties of these semigroups as well as the geometric results obtained from these properties. We also address some problems.
SN  - 0037-1912
SN  - 1432-2137
ER  -