Sobre curvas maximales en el espacio

• Oliveira, Paulo César ^[1] ; Torres, Fernando ^[2]
  1. [1] Universidade Regional do Cariri

     Universidade Regional do Cariri

     Brasil

     
  2. [2] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 53, Nº. Extra 1, 2019 (Ejemplar dedicado a: Suplemento), págs. 223-235
• Idioma: español
• DOI: 10.15446/recolma.v53nsupl.84089
• Títulos paralelos:
  • On space maximal curves
• Enlaces
  • Texto completo
• Resumen
  • español

    Toda curva maximal X está intrínsicamente dotada de un mergullo π: X → Pr el cual vislumbra propiedades cruciales de la curva. Para r = 3, considerando los divisores de contacto de la curva π(X) y rectas tangentes, investigamos el posible primer elemento positivo que un semigrupo de Weierstrass en un punto racional puede tener en el caso que π(X) esté contenida en una superficie cúbica.

  • English

    Any maximal curve X is equipped with an intrinsic embedding π: X → Pr which reveal outstanding properties of the curve. By dealing with the contact divisors of the curve π(X) and tangent lines, in this paper we investigate the first positive element that the Weierstrass semigroup at rational points can have whenever r = 3 and π(X) is contained in a cubic surface.

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