The adic, cuspidal, Hilbert eigenvarieties
نویسندگان
چکیده
منابع مشابه
ON l-ADIC FAMILIES OF CUSPIDAL REPRESENTATIONS OF GL2(Qp)
We compute the universal deformations of cuspidal representations π of GL2(F ) over Fl, where F is a local field of residue characteristic p and l is an odd prime different from p. When π is supercuspidal there is an irreducible, two dimensional representation ρ of GF that corresponds to π via the mod l local Langlands correspondence of [Vi2]; we show that there is a natural isomorphism between...
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We prove that any reductive group G over a non-Archimedean local field has a cuspidal complex representation.
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Classicaly, the Hilbert class polynomial P∆ ∈ Z[X] of an imaginary quadratic discriminant ∆ is computed using complex analytic techniques. In 2002, Couveignes and Henocq [5] suggested a p-adic algorithm to compute P∆. Unlike the complex analytic method, it does not suffer from problems caused by rounding errors. In this paper we complete the outline given in [5] and we prove that, if the Genera...
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Cuspidal representations of a reductive p-adic group G over a field of characteristic different from p are relatively injective and projective with respect to extensions that split by a U-equivariant linear map for any subgroup U that is compact modulo the centre. The category of smooth representations over a field whose characteristic does not divide the pro-order of G is the product of the su...
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ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2016
ISSN: 2197-9847
DOI: 10.1186/s40687-016-0076-7