| Texto completo | |
| Autor(es): |
Borges, Herivelto
;
Guardieiro, Joao Paulo
;
Salgado, Cecilia
;
Top, Jaap
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 18-pg., 2025-04-05. |
| Resumo | |
The aim of this paper is to present families of elliptic surfaces defined over function fields of even characteristic having arbitrarily large Mordell-Weil rank. More precisely, we study the elliptic surface arising from the quartic twist of a supersingular elliptic curve defined over the field with two elements, using the function field of a maximal curve C admitting an order 4 automorphism. For the resulting elliptic surface, we provide a rank formula for its Mordell-Weil group in terms of the genera of C and another curve covered by C. (AU) | |
| Processo FAPESP: | 22/15301-5 - Curvas algébricas sobre corpos finitos e aplicações |
| Beneficiário: | Herivelto Martins Borges Filho |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |