Constructing semisimple p-adic Galois representations with prescribed properties

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dc.creatorKhare, Chandrashekhar
dc.creatorLarsen, Michael
dc.creatorRamakrishna, Ravi
dc.date2003-09-17
dc.date.accessioned2026-07-07T05:01:13Z
dc.date.available2026-07-07T05:01:13Z
dc.descriptionIn this paper we show that two dimensional (mod p) Galois representations satisfying mild hypotheses can be lifted to p-adic Galois representations ramified at infinitely many primes such that the characteristic polynomials of Frobenius at a density one set of unramified primes are defined over the rational integers. In particular we show that often one can "density one compatibly" lift mod p and mod q Galois representations.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0309283
dc.identifierhttp://arxiv.org/abs/math/0309283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68593
dc.subjectNumber Theory
dc.subject11F80
dc.titleConstructing semisimple p-adic Galois representations with prescribed properties
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