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Type: Artigo de periódico
Title: On maximal curves in characteristic two
Author: Abdon, M
Torres, F
Abstract: The genus g of an F-q2-maximal curve satisfies g = g(1) := q(q - 1)/2 or g less than or equal to g(2) := [(4 - 1)2/4]. Previously, F-q2-maximal curves with g = g(1) or g = g(2), 4 odd, have been characterized up to F-q2-isomorphism. Here it is shown that an F-q2-maximal curve with genus g2, 4 even, is F-q2-isomorphic to the non-singular model of the plane curve Sigma(i=1)(t) y(4/2i) = x(q+1), 4 = 2(t), provided that q/2 is a Weierstrass non-gap at some point of the curve.
Country: EUA
Editor: Springer Verlag
Citation: Manuscripta Mathematica. Springer Verlag, v. 99, n. 1, n. 39, n. 53, 1999.
Rights: fechado
Identifier DOI: 10.1007/s002290050161
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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