3 papers
math.AG2019
On a class of Kato manifolds
Nicolina Istrati, Alexandra Otiman, Massimiliano Pontecorvo
We revisit Brunella's proof of the fact that Kato surfaces admit locally conformally K\" ahler metrics, and we show that it holds for a large class of higher dimensional complex ma…
math.CV2018
Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
Alexandra Otiman, Matei Toma
We compute the Dolbeault cohomology of geodesically convex domains contained in Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain a descript…
math.DG2018
A characterization of compact locally conformally hyperkähler manifolds
Liviu Ornea, Alexandra Otiman
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a nondegenerate complex two-form with natural properties. This is…