Period and index of genus one curves over number fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172948The period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over certain number fields.16 pagesNumber Theory11G05Period and index of genus one curves over number fieldstext