A note on some Picard curves over finite fields

Texto completo
Autor(es):	Kazemifard, Ahmad ^[1] ; Tafazolian, Saeed ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Shahid Chamran Univ, Dept Math, Ahwaz - Iran ^[2] Univ Estadual Campinas, UNICAMP, Inst Math Stat & Comp Sci IMECC, BR-13083859 Campinas, SP - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	FINITE FIELDS AND THEIR APPLICATIONS; v. 34, p. 107-122, JUL 2015.
Citações Web of Science:	0
Resumo
In this note we provide a complete classification for the Newton polygon of the Picard curves y(3) = x(4) - x and y(3) = x(4) - 1 defined over a finite field of characteristic p > 3. In fact, we complete the results obtained in {[}19]. Using these results, we determine all finite fields over which these curves attain the Hasse-Weil upper bound. (C) 2014 Published by Elsevier Inc. (AU)

Processo FAPESP:	12/02255-3 - Curvas sobre corpos finitos
Beneficiário:	Saeed Tafazolian
Modalidade de apoio:	Bolsas no Brasil - Pós-Doutorado