Fields of moduli of hyperelliptic curves

Simple item page
dc.creatorHuggins, Bonnie
dc.date2004-07-06
dc.date.accessioned2026-07-07T05:09:59Z
dc.date.available2026-07-07T05:09:59Z
dc.descriptionLet F be an algebraically closed field with char(F) not equal to 2, let F/K be a Galois extension, and let X be a hyperelliptic curve defined over F. Let ιbe the hyperelliptic involution of X. We show that X can be defined over its field of moduli relative to the extension F/K if Aut(X)/<ι> is not cyclic. We construct explicit examples of hyperelliptic curves not definable over their field of moduli when Aut(X)/<ι> is cyclic.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0407088
dc.identifierhttp://arxiv.org/abs/math/0407088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71792
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G99;14H99
dc.titleFields of moduli of hyperelliptic curves
dc.typetext

Files

Collections

arXiv