Geodesic
Mixed Hilbert modular forms and families of abelian varieties
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 131-140

Voir la notice de l'article provenant de la source Cambridge University Press

In [18] Shioda proved that the space of holomorphic 2-forms on a certain type of elliptic surface is canonically isomorphic to the space of modular forms of weight three for the associated Fuchsian group. Later, Hunt and Meyer [6] made an observation that the holomorphic 2-forms on a more general elliptic surface should in fact be identified with mixed automorphic forms associated to an automorphy factor of the formfor z in the Poincaré upper half plane H, g = and χ(g) = , where g is an element of the fundamental group Γ⊂PSL(2, R) of the base space of the elliptic fibration, χ-Γ→SL(2, R) the monodromy representation, and w: H→H the lifting of the period map of the elliptic surface. 
Lee, Min Ho. Mixed Hilbert modular forms and families of abelian varieties. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 131-140. doi: 10.1017/S001708950003202X
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