On the modularity of three Calabi-Yau threefolds with bad reduction at 11

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dc.creatorSchuett, Matthias
dc.date2004-05-24
dc.date2004-09-01
dc.date.accessioned2026-07-07T06:31:00Z
dc.date.available2026-07-07T06:31:00Z
dc.descriptionWe investigate the modularity of three non-rigid Calabi-Yau threefolds with bad reduction at 11 which arise as fibre products of rational elliptic surfaces. For this purpose, we apply a method by Serre to compare two-dimensional 2-adic Galois representations with uneven trace. Hereby, we associate two of the threefolds (or, more precisely, a two-dimensional piece of their middle cohomology group) to newforms of weight 4 and level 22 and 55, respectively. This enables us to compute the zeta-functions of these varieties up to the Euler factors of the bad primes.
dc.description15 pages; minor changes and corrections to first version; accepted for Canadian Mathematical Bulletin
dc.identifierhttps://arxiv.org/abs/math/0405450
dc.identifierhttp://arxiv.org/abs/math/0405450
dc.identifierCanad. Math. Bull. 49 (2), 2006, 296-312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98491
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14J32; 11F03; 11F23; 11F32
dc.titleOn the modularity of three Calabi-Yau threefolds with bad reduction at 11
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