Geometry and Topology of the space of Kähler metrics on singular varieties

Eleonora Di Nezza, Vincent Guedj

Let $Y$ be a compact Kähler normal space and $\alpha \in H^{1,1}(Y,\mathbb{R})$ a Kähler class. We study metric properties of the space ${\mathcal{H}}_{\alpha }$ of Kähler metrics in $\alpha$ using Mab…