5 citations · 13 across the 12 of their papers we have counts for
15 papers
On astheno-Kähler nilmanifolds with balanced metrics
A. Latorre, L. Ugarte
In this paper we study the structure of complex nilmanifolds admitting some special classes of Hermitian metrics, namely, astheno-Kähler, strongly Gauduchon and balanced metric…
Complex symplectic structures: deformations and cohomology
Giovanni Bazzoni, Marco Freibert, Adela Latorre +1
We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of co…
Nilmanifolds with non-nilpotent complex structures and their pseudo-Kähler geometry
A. Latorre, L. Ugarte
We classify nilpotent Lie algebras with complex structures of weakly non-nilpotent type in real dimension eight, which is the lowest dimension where they arise. Our study, together…
Complex Symplectic Lie Algebras with Large Abelian Subalgebras
Giovanni Bazzoni, Marco Freibert, Adela Latorre +1
We present two constructions of complex symplectic structures on Lie algebras with large abelian ideals. In particular, we completely classify complex symplectic structures on almo…
Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
A. Latorre, L. Ugarte, R. Villacampa
In this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, S…
Symmetric and skew-symmetric complex structures
Giovanni Bazzoni, Alejandro Gil-García, Adela Latorre
On a complex manifold , we interpret complex symplectic and pseudo-Kähler structures as symplectic forms with respect to which is, respectively, symmetric and skew-symme…