Duality of Hodge numbers of compact complex nilmanifolds

Abstract

A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.

Keywords

• nilmanifold
• Dolbeault cohomology group
• complex structure