Artículo
On the number of rational points on curves over finite fields with many automorphisms
Autor/es | Rojas León, Antonio |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2013-01 |
Fecha de depósito | 2016-06-07 |
Publicado en |
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Resumen | Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin–Schreier curves of the form yq−y=f(x) with f∈Fqr[x], on ... Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin–Schreier curves of the form yq−y=f(x) with f∈Fqr[x], on which the additive group Fq acts, and Kummer curves of the form , which have an action of the multiplicative group . In both cases we can remove a factor from the Weil bound when q is sufficiently large. |
Identificador del proyecto | P08-FQM-03894
MTM2007-66929 |
Cita | Rojas León, A. (2013). On the number of rational points on curves over finite fields with many automorphisms. Finite Fields and Their Applications, 19 (1), 1-15. |
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