2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71221Inspired 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.35 pagesNumber TheoryAlgebraic Geometry11F41, 11F80, 14G35, 11G18text