Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds. (arXiv:1811.02541v2 [math.CV] UPDATED)

We compute the Dolbeault cohomology of certain domains contained in Cousin groups defined by lattices which satisfy a strong dispersiveness condition. As a consequence we obtain a description of the Dolbeault cohomology of Oeljeklaus-Toma manifolds and in particular the fact that the Hodge decomposition holds for their cohomology. 查看全文>>