2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117875We determine conditions that guarantee that a hyperelliptic or plane curve over a field of characteristic not equal to 2 can be defined over its field of moduli. We also give new examples of curves not definable over their fields of moduli.UC Berkeley Ph.D. thesis, 168 pagesNumber TheoryAlgebraic Geometry11G99;14H99Fields of moduli and fields of definition of curvestext