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Realisations of Kummer-Chern-Eisenstein-motives (Q863450)

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Realisations of Kummer-Chern-Eisenstein-motives
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    Realisations of Kummer-Chern-Eisenstein-motives (English)
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    26 January 2007
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    Inspired by work of G. Harder, the author constructs via the motive of a Hilbert modular surface an extension of a Tate motive by a Dirichlet motive. He computes the \(\ell\)-adic and the Hodge-de Rham realisation classes of this extension and he indicates how this is linked to the Hodge-1-motive of the given Hilbert modular surface.
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    Tate motive
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    Dirichlet motive
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    Hilbert modular space
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