2 papers
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…