Complex structures on nilpotent almost abelian Lie algebras are unique up to isomorphism, giving full control of Dolbeault cohomology, Frölicher degeneration, and deformations of the corresponding nilmanifolds.
Applications of the quaternionic J ordan form to hypercomplex geometry
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Almost abelian complex nilmanifolds
Complex structures on nilpotent almost abelian Lie algebras are unique up to isomorphism, giving full control of Dolbeault cohomology, Frölicher degeneration, and deformations of the corresponding nilmanifolds.