Points on singular Frobenius nonclassical curves

Autor(es)

Borges, Herivelto ; Homma, Masaaki

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 48, n. 1, p. 93-101, MAR 2017.
• Citações Web of Science: 3

Resumo

In 1990, Hefez and Voloch proved that the number of F-q-rational points on a nonsingular plane q-Frobenius nonclassical curve of degree d is N = d(q - d+2). We address these curves in the singular setting. In particular, we prove that d( q - d+ 2) is a lower bound on the number of F-q - rational points on such curves of degree d. (AU)

• Processo FAPESP: 15/03984-7 - Pontos racionais em curvas algébricas
• Beneficiário: Herivelto Martins Borges Filho
• Modalidade de apoio: Bolsas no Exterior - Pesquisa