ON THE ZETA FUNCTION AND THE AUTOMORPHISM GROUP OF THE GENERALIZED SUZUKI CURVE

Autor(es)

Borges, Herivelto ^[1] ; Coutinho, Mariana ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 374, n. 3, p. 1899-1917, MAR 2021.
• Citações Web of Science: 0

Resumo

For p an odd prime number, q(o) = p(t), and q = p(2t-1), let chi(gs) be the nonsingular model of Y-q - Y = X-qo (X-q - X). In the present work, the number of F(q)n-rational points and the full automorphism group of chi(gs) are determined. In addition, the L-polynomial of this curve is provided, and the number of F(q)n,-rational points on the Jacobian J(chi gs) is used to construct etale covers of chi(gs), some with many rational points. (AU)

• Processo FAPESP: 18/23839-0 - Curvas Algébricas sobre Corpos Finitos
• Beneficiário: Mariana de Almeida Nery Coutinho
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 17/04681-3 - Curvas algébricas sobre corpos finitos
• Beneficiário: Herivelto Martins Borges Filho
• Modalidade de apoio: Auxílio à Pesquisa - Regular