Event description
The presence of a Kähler metric on a manifold has several consequences on the complex geometry of that manifold, e.g., on its cohomology spaces. As a consequence, there are many ways to generalize Kähler manifolds according to the different aspects we want to stress: two of them are p-Kählerianity and the del-delbar-Lemma; the first deals with positivity properties of forma, while the second is cohomological in nature. It is then interesting to see if these two concepts are skew or if one actually implies the other. In this talk we want to show producing (explicit) examples that in fact there is no evident relation between p-Kählerianity and the validity of the del-delbar-Lemma.
This is a work in progress with Adriano Tomassini.