On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces

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dc.creatorHulek, Klaus
dc.creatorVerrill, Helena
dc.date2005-02-08
dc.date.accessioned2026-07-07T05:16:48Z
dc.date.available2026-07-07T05:16:48Z
dc.descriptionWe prove that (not necessarily rigid) Calabi-Yau threefolds defined over the rationals which contain sufficiently many elliptic ruled surfcaes are modular (under mild restrictions on the primes of bad reduction). Our proof uses the results of Dieulefait and Manoharmayum who proved modularity of rigid Calabi-Yau threefolds.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0502158
dc.identifierhttp://arxiv.org/abs/math/0502158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74121
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14J32: 14G10; 14F30; 11G40; 11F03
dc.titleOn the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces
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