Higher order modular forms and mixed Hodge theory
نویسندگان
چکیده
منابع مشابه
HILBERT MODULAR FORMS AND p-ADIC HODGE THEORY
We consider the p-adic Galois representation associated to a Hilbert modular form. Carayol has shown that, under a certain assumption, its restriction to the local Galois group at a place not dividing p is compatible with the local Langlands correspondence [C2]. In this paper, we show that the same is true for the places dividing p, in the sense of p-adic Hodge theory [Fo], as is shown for an e...
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1.2. The first result of this type is due to Eichler ([E]) who treated the case where f = f11 is the unique weight 2 newform for Γ0(11) and E is the compactified modular curve for this group. Later, in several works, Shimura showed that the Hasse-Weil zeta functions of special models (often called canonical models) of modular and quaternionic curves are, at almost all finite places v, products ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2009
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa139-4-2