Tommaso Sferruzza

most citedDolbeault and Bott-Chern formalities: deformations and

\partial \partial

-lemma

7 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.DG2023

Almost complex blow-ups and positive closed $(1, 1)$ -forms on $4$ -dimensional almost complex manifolds

Richard Hind, Tommaso Sferruzza, Adriano Tomassini

Let $(M, J)$ be a $2 n$ -dimensional almost complex manifold and let $x \in M$ . We define the notion of almost complex blow-up of $(M, J)$ at $x$ . We prove the existence of almost compl…

math.DG2023

Deformations of astheno-Kähler metrics

Tommaso Sferruzza

The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold. In this paper, we pr…

math.DG2021★ 7 cited

Dolbeault and Bott-Chern formalities: deformations and $\partial \partial$ -lemma

Tommaso Sferruzza, Adriano Tomassini

It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we c…

math.DG2021

$p$ -Kähler and balanced structures on nilmanifolds with nilpotent complex structures

Tommaso Sferruzza, Nicoletta Tardini

Let $(X, J)$ be a nilmanifold with a left-invariant nilpotent complex structure. We study the existence of $p$ -Kähler structures (which include Kähler and balanced metrics) on $X$ .…

Almost complex blow-ups and positive closed (1,1)-forms on 4-dimensional almost complex manifolds

Deformations of astheno-Kähler metrics

Dolbeault and Bott-Chern formalities: deformations and ∂∂-lemma

p-Kähler and balanced structures on nilmanifolds with nilpotent complex structures

Almost complex blow-ups and positive closed $(1, 1)$ -forms on $4$ -dimensional almost complex manifolds

Dolbeault and Bott-Chern formalities: deformations and $\partial \partial$ -lemma

$p$ -Kähler and balanced structures on nilmanifolds with nilpotent complex structures