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Type: Artigo
Title: On the curve Y-n = X-l (X-m+1) over finite fields
Author: Tafazolian, Saeed
Torres, Fernando
Abstract: Let X be the nonsingular model of a plane curve of type y(n) = f(x) over the finite field F of order q(2), where f(x) is a separable polynomial of degree coprime to n. If the number of F-rational points of X attains the Hasse-Weil bound, then the condition that n divides q + 1 is equivalent to the solubility of f(x) in F; see [20]. In this paper, we investigate this condition for f(x) = x(l) (x(m) + 1)
Subject: Corpos finitos (Álgebra)
Country: Alemanha
Editor: De Gruyter
Rights: Fechado
Identifier DOI: 10.1515/advgeom-2017-0041
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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