On every compact nilmanifold with left-invariant complex structure, invariant forms induce an isomorphism on Dolbeault cohomology in all bidegrees.
Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
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Invariant forms compute the Dolbeault cohomology of complex nilmanifolds
On every compact nilmanifold with left-invariant complex structure, invariant forms induce an isomorphism on Dolbeault cohomology in all bidegrees.