Computing Hilbert modular forms over fields with nontrivial class group

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dc.creatorDembele, Lassina
dc.creatorDonnelly, Steve
dc.date2007-11-26
dc.date.accessioned2026-07-07T08:44:52Z
dc.date.available2026-07-07T08:44:52Z
dc.descriptionIn previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degree and nontrivial class group. Using the algorithm over $\Q(\sqrt{10})$ and $\Q(\sqrt{85})$ and their Hilbert class fields, we present some new instances of the conjectural Eichler-Shimura construction for totally real fields, and in particular find new examples of modular abelian varieties with everywhere good reduction.
dc.identifierhttps://arxiv.org/abs/0711.3863
dc.identifierhttp://arxiv.org/abs/0711.3863
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142809
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11-xx, 11Gxx
dc.titleComputing Hilbert modular forms over fields with nontrivial class group
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