On the modularity of supersingular elliptic curves over certain totally real number fields

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dc.creatorJarvis, Frazer
dc.creatorManoharmayum, Jayanta
dc.date2007-08-29
dc.date.accessioned2026-07-07T08:26:23Z
dc.date.available2026-07-07T08:26:23Z
dc.descriptionWe study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reduction, we focus here on the case of supersingular reduction. Combining these, we then obtain some partial results on the modularity problem for semistable elliptic curves, and end by giving some applications of our results, for example proving the modularity of all semistable elliptic curves over $\mathbb{Q}(\sqrt{2})$.
dc.description36 pages (revised version of 2002 preprint)
dc.identifierhttps://arxiv.org/abs/0708.3942
dc.identifierhttp://arxiv.org/abs/0708.3942
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136924
dc.subjectNumber Theory
dc.subject11F41 (Primary), 11F80, 11G05 (Secondary)
dc.titleOn the modularity of supersingular elliptic curves over certain totally real number fields
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