$\partial \bar{\partial }$-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps

Ben Anthes, Andrea Cattaneo, Sönke Rollenske +1

Let $X$ be a compact complex manifold with trivial canonical bundle and satisfying the $\partial \bar{\partial }$-Lemma. We show that the Kuranishi space of $X$ is a smooth universal…