On space maximal curves

Paulo César Oliveira; Fernando Torres

doi:10.15446/recolma.v53nsupl.84089

Veröffentlicht

2019-12-11

On space maximal curves

Sobre curvas maximales en el espacio

DOI:

https://doi.org/10.15446/recolma.v53nsupl.84089

Schlagworte:

finite fields, Stöhr-Voloch theory, Hasse-Weil bound, maximal curve (en)
cuerpos finitos, teoría de Stöhr-Voloch, cota de Hasse- Weil, curva maximal (es)

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Autor/innen

Paulo César Oliveira Universidade Regional do Cariri
Fernando Torres Universidade Estadual de Campinas - Instituto de Matemática, Estatística e Computação Científica

Abstract (en)
Abstract (es)

Any maximal curve X is equipped with an intrinsic embedding π: X → P^r 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.

Toda curva maximal X está intrínsicamente dotada de un mergullo π: X → P^r 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.

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Zitationsvorschlag

APA

Oliveira, P. C. und Torres, F. (2019). On space maximal curves. Revista Colombiana de Matemáticas, 53(supl), 223–235. https://doi.org/10.15446/recolma.v53nsupl.84089

ACM

[1]

Oliveira, P.C. und Torres, F. 2019. On space maximal curves. Revista Colombiana de Matemáticas. 53, supl (Dez. 2019), 223–235. DOI:https://doi.org/10.15446/recolma.v53nsupl.84089.

ACS

(1)

Oliveira, P. C.; Torres, F. On space maximal curves. rev.colomb.mat 2019, 53, 223-235.

ABNT

OLIVEIRA, P. C.; TORRES, F. On space maximal curves. Revista Colombiana de Matemáticas, [S. l.], v. 53, n. supl, p. 223–235, 2019. DOI: 10.15446/recolma.v53nsupl.84089. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/84089. Acesso em: 22 jan. 2025.

Chicago

Oliveira, Paulo César, und Fernando Torres. 2019. „On space maximal curves“. Revista Colombiana De Matemáticas 53 (supl):223-35. https://doi.org/10.15446/recolma.v53nsupl.84089.

Harvard

Oliveira, P. C. und Torres, F. (2019) „On space maximal curves“, Revista Colombiana de Matemáticas, 53(supl), S. 223–235. doi: 10.15446/recolma.v53nsupl.84089.

IEEE

[1]

P. C. Oliveira und F. Torres, „On space maximal curves“, rev.colomb.mat, Bd. 53, Nr. supl, S. 223–235, Dez. 2019.

MLA

Oliveira, P. C., und F. Torres. „On space maximal curves“. Revista Colombiana de Matemáticas, Bd. 53, Nr. supl, Dezember 2019, S. 223-35, doi:10.15446/recolma.v53nsupl.84089.

Turabian

Oliveira, Paulo César, und Fernando Torres. „On space maximal curves“. Revista Colombiana de Matemáticas 53, no. supl (Dezember 11, 2019): 223–235. Zugegriffen Januar 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/84089.

Vancouver

1.

Oliveira PC, Torres F. On space maximal curves. rev.colomb.mat [Internet]. 11. Dezember 2019 [zitiert 22. Januar 2025];53(supl):223-35. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/84089