Eventually minimal curves
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/04/2005
|
Resumo |
A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a fundamental role is played by an invariant linear system introduced by Ruck and Stichtenoth in [6]. In this paper we define an analogous invariant system for minimal curves, and we compute its orders and its Weierstrass points. In the last section we treat the case of curves having genus three in characteristic two. |
Formato |
39-58 |
Identificador |
http://dx.doi.org/10.1007/s00574-005-0027-1 Bulletin of the Brazilian Mathematical Society. New York: Springer, v. 36, n. 1, p. 39-58, 2005. 1678-7544 http://hdl.handle.net/11449/37307 10.1007/s00574-005-0027-1 WOS:000229007700003 |
Idioma(s) |
eng |
Publicador |
Springer |
Relação |
Bulletin of the Brazilian Mathematical Society |
Direitos |
closedAccess |
Palavras-Chave | #Hasse-Weil bound #rational point #Weierstrass point #minimal curve #gap #genus #zeta funtion |
Tipo |
info:eu-repo/semantics/article |