We study balanced Hermitian structures on almost abelian Lie algebras, ie on Lie algebras
with a codimension-one abelian ideal. In particular, we classify six-dimensional almost …

In\cite {GL21a} we have developed a new approach to $ L^{\infty} $-a priori estimates for
degenerate complex Monge-Amp\ere equations, when the reference form is closed. This …

In this paper, we confirm the Fino–Vezzoni Conjecture for unimodular Lie algebras which
contain abelian ideals of codimension two, a natural generalization to the class of almost …

Motivated by the construction based on topological suspension of a family of compact non-
K\" ahler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in …

It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting
both a compatible SKT and a compatible balanced metric also admits a compatible Kähler …

A Hermitian metric on a complex manifold is said to be pluriclosed or SKT if the torsion of the
associated Bismut connection is closed, and it is called balanced if its fundamental form is …

We study metric and cohomological properties of Oeljeklaus–Toma manifolds. In particular,
we describe the structure of the double complex of differential forms and its Bott–Chern …

Let $(X,\omega) $ be a compact hermitian manifold of dimension $ n $. We study the
asymptotic behavior of Monge-Ampère volumes $\int _X (\omega+ dd^ c\varphi)^ n $, when …

We study locally conformally balanced metrics on almost abelian Lie algebras, namely
solvable Lie algebras admitting an abelian ideal of codimension one, providing …

We investigate the pluriclosed flow on Oeljeklaus–Toma manifolds. We parameterize left-
invariant pluriclosed metrics on Oeljeklaus–Toma manifolds, and we classify the ones which …