Large automorphism groups of ordinary curves in characteristic 2

Autor(es)

Montanucci, Maria ^[1] ; Speziali, Pietro ^{[2, 1]}

Afiliação do(s) autor(es)

^[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza - Italy

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 526, p. 30-50, MAY 15 2019.
• Citações Web of Science: 0

Resumo

Let X be a (projective, non-singular, irreducible) curve of even genus g(X) >= 2 defined over an algebraically closed field K of characteristic p. If the p-rank gamma(X) equals g(X), then X is ordinary. In this paper, we deal with large automorphism groups G of ordinary curves. Under the hypotheses that p = 2, g(X) is even and G is solvable, we prove that vertical bar G vertical bar < 35(g(X)+1)(3/2). (C) 2019 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/18776-6 - Curvas algébricas em característica positiva e aplicações
• Beneficiário: Pietro Speziali
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado