Resumen de Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds

Alexandra Otiman, Matei Toma

• We compute the Dolbeault cohomology of geodesically convex do- mains contained in Cousin groups which satisfy a strong dispersiveness condi- tion. As a consequence we obtain a description of the Dolbeault cohomology of Oeljeklaus-Toma manifolds and in particular the fact that the Hodge decomposi- tion holds for their cohomology.