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math.DG2005
Stability of Abelian Complex Structures
Sergio Console, Anna Fino, Yat-Sun Poon
Let be a nilmanifold endowed with an invariant complex structure. We prove that Kuranishi deformations of abelian complex structures are all invariant complex s…
math.DG2003
The moduli space of 6-dimensional 2-step nilpotent Lie algebras
Sergio Console, Anna Fino, Evangelia Samiou
We determine the moduli space of metric 2-step nilpotent Lie algebras of dimension up to 6. This space is homeomorphic to a cone over a 4-dimensional contractible simplicial comple…
math.DG1998
Dolbeault Cohomology of compact Nilmanifolds
S. Console, A. Fino
Let be a compact nilmanifold endowed with an invariant complex structure. We prove that, on an open set of any connected component of the moduli space ${\cal C} ({\frak g}…