Curves containing all points of a finite projective Galois plane

Autor(es)

Cunha, Gregory Duran

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 222, n. 10, p. 2964-2974, OCT 2018.
• Citações Web of Science: 0

Resumo

In the projective plane PG(2, q) over a finite field of order q, a Tallini curve is a plane irreducible (algebraic) curve of (minimum) degree q + 2 containing all points of PG(2, q). Such curves were investigated by G. Tallini {[}8,9] in 1961, and by Homma and Kim {[}5] in 2013. Our results concern the automorphism groups, the Weierstrass semigroups, the Hasse-Witt invariants, and quotient curves of the Tallini curves. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/10181-8 - Grupos de automorfismos das curvas multi-Frobenius não-clássicas
• Beneficiário: Grégory Duran Cunha
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado