New posts in Complex Manifolds

Examples of compact complex manifolds for which the $dd^c$ lemma does not hold

Examples of non-Kähler compact complex manifolds which satisfy the Dolbeault isomorphism

Is the Bott-Chern/Aeppli cohomology determined by the de Rham and Dolbeault cohomologies?

Can a class be represented by both a $(p,q)$-form and a $(p',q')$-form?

On a Hirzebruch surface

Finite unramified analytic coverings vs finite etale coverings

When can you reverse the orientation of a complex manifold and still get a complex manifold?

Hodge Index theorem for Complex Manifolds

A topological consequence of Riemann-Roch in the almost complex case