Holomorphic vector fields of compact pseudo-Kähler manifolds

It is well known that a pseudo-Kähler structure is a natural generalization of the Kähler structure. In this paper, we consider holomorphic vector fields of a compact pseudo-Kähler manifold from the viewpoint of Kähler manifolds.

► We study holomorphic vector fields of compact pseudo-Kähler manifolds. ► A complex vector field corresponding to a Killing vector field is holomorphic. ► There exists a relation between the zero set of a holomorphic vector field and Hodge numbers.