p-torsion of Genus Two Curves Over Prime Fields of Characteristic p

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129451Consider the Jacobian of a hyperelliptic genus two curve defined over a prime field of characteristic p and with complex multiplication. In this paper we show that the p-Sylow subgroup of the Jacobian is either trivial or of order p.5 pagesAlgebraic GeometryNumber Theory14H40 (Primary) 11G15,14Q05, 94A60 (Secondary)p-torsion of Genus Two Curves Over Prime Fields of Characteristic ptext