On the generators of the value semigroup at infinity associated to a curve with only one place at infinity

• Carlos-Jesús Moreno-Ávila ^[1] ; Julio-José Moyano-Fernández ^[1]
  1. [1] Universitat Jaume I

     Universitat Jaume I

     Castellón, España

     
• Localización: EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones / coord. por Carlos Galindo Pastor, Philippe Giménez, Fernando Javier Hernando Carrillo, F. Monserrat Delpalillo, Julio José Moyano Fernández, 2023, ISBN 978-84-19647-46-7, págs. 131-134
• Idioma: inglés
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• Resumen

  • Let C be a curve with only one place at infinity, and let SC,∞ be its semigroup at infinity. It is known that this semigroup is generated by a δ-sequence in N>0. In this work we study the family of δ-sequences which generate the same semigroup SC,∞ at infinity. We also introduce the minimal δ-sequences as those with the least length among all the δ-sequences generating the same semigroup at infinity. This is based on a joint work in progress with C. Galindo and F. Monserrat.