4 papers · 1 filter
On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds
Adela Latorre, Luis Ugarte
We study the stability of compact pseudo-Kähler manifolds, i.e. compact complex manifolds endowed with a symplectic form compatible with the complex structure of . When the…
On the real homotopy type of generalized complex nilmanifolds
Adela Latorre, Luis Ugarte, Raquel Villacampa
We prove that for any there are infinitely many real homotopy types of -dimensional nilmanifolds admitting generalized complex structures of every type , for $0 \l…
A family of complex nilmanifolds with infinitely many real homotopy types
Adela Latorre, Luis Ugarte, Raquel Villacampa
We find a one-parameter family of non-isomorphic nilpotent Lie algebras , with , of real dimension eight with (strongly non-nilpotent) complex str…
On the Bott-Chern cohomology and balanced Hermitian nilmanifolds
Adela Latorre, Luis Ugarte, Raquel Villacampa
The Bott-Chern cohomology of 6-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon…