Geometric families of 4-dimensional Galois representations with generically large images

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dc.creatorDieulefait, Luis
dc.creatorVila, Nuria
dc.date2004-09-17
dc.date.accessioned2026-07-07T05:12:15Z
dc.date.available2026-07-07T05:12:15Z
dc.descriptionWe study compatible families of four-dimensional Galois representations constructed in the étale cohomology of a smooth projective variety. We prove a theorem asserting that the images will be generically large if certain conditions are satisfied. We only consider representations with coefficients in an imaginary quadratic field. We apply our result to an example constructed by Jasper Scholten, obtaining a family of linear groups and one of unitary groups as Galois groups over $\mathbb{Q}$.
dc.identifierhttps://arxiv.org/abs/math/0409300
dc.identifierhttp://arxiv.org/abs/math/0409300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72509
dc.subjectNumber Theory
dc.subject11F80; 12F12
dc.titleGeometric families of 4-dimensional Galois representations with generically large images
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