Titlebook: Drinfeld Moduli Schemes and Automorphic Forms; The Theory of Ellipt Yuval Z. Flicker Book 2013 Yuval Z. Flicker 2013 Drinfield modules.Galo

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https://doi.org/10.1007/978-1-4614-5888-3Drinfield modules; Galois representations; Ramanujan conjecture; cuspidal representations; elliptic modu

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978-1-4614-5887-6Yuval Z. Flicker 2013

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Rebel Victory and the Rwandan GenocideDefinition 2.5 of an elliptic module over a field extension of .. is purely algebraic. So it has a natural generalization defining elliptic modules over any field over ..

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Counting PointsWe shall now describe each isogeny class in . and the action of the Frobenius on it. The group . acts transitively on the isogeny class, and our task is to find the stabilizer of an element in the class, in order to describe the isogeny class as a homogeneous space.

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Elliptic Modules: Geometric Definitionlently a line bundle over .). An elliptic module of rank . over . will then be defined as an .?structure on . which becomes an elliptic module of rank . over . for any field . over . (thus .→.). For our purposes it suffices to consider only affine schemes . and elliptic modules defined by means of a trivial line bundle . alone.