Realisations of Kummer-Chern-Eisenstein-Motives

Details Realisations of Kummer-Chern-Eisenstein-Motives Realisations of Kummer-Chern-Eisenstein-Motives

2004-05-17

arxiv.org/abs/math/0405324v1

Mathematics

Number Theory

35 pages

Scientific paper

Inspired by the work of G. Harder (\cite{HaICM}, \cite{HaLNM}, \cite{HaMM})
we construct via the motive of a Hilbert modular surface an extension of a Tate
motive by a Dirichlet motive. We compute the realisation classes and indicate
how this is linked to the Hodge-1-motive of the Hilbert modular surface.

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