3 papers
math.DG2026
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 metri…
math.DG2025
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…
math.DG2025
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…