On Deligne’s conjecture for Hilbert motives over totally real number fields
نویسندگان
چکیده
منابع مشابه
Perfect Forms over Totally Real Number Fields
A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m. This concept was introduced by Voronöı and later generalized by Koecher to arbitrary number fields. One knows that up to a natural “change of variables” equivalence, there are only finitely many perfect f...
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The local Tamagawa number conjecture, which was first formulated by Fontaine and Perrin-Riou, expresses the compatibility of the (global) Tamagawa number conjecture on motivic L-functions with the functional equation. The local conjecture was proven for Tate motives over finite unramified extensions K/Qp by Bloch and Kato. We use the theory of (φ,Γ)-modules and a reciprocity law due to Cherbonn...
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In 1987 Serre conjectured that any mod ` two-dimensional irreducible odd representation of the absolute Galois group of the rationals came from a modular form in a precise way. We present a generalisation of this conjecture to 2-dimensional representations of the absolute Galois group of a totally real field where ` is unramified. The hard work is in formulating an analogue of the “weight” part...
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In 1987 Serre conjectured that any mod l two-dimensional irreducible odd representation of the absolute Galois group of the rationals came from a modular form in a precise way. We present a generalisation of this conjecture to 2-dimensional representations of the absolute Galois group of a totally real field where l is unramified. The hard work is in formulating an analogue of the “weight” part...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2010
ISSN: 2156-2261
DOI: 10.1215/0023608x-2009-005