Tommaso Sferruzza

activity

20202026

most citedDolbeault and Bott-Chern formalities: deformations and

\partial \partial

-lemma

7 citations · 7 across the 10 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

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 $X$ .…

math.DG2021

Deformations of balanced metrics

Tommaso Sferruzza

Small deformations of the complex structure do not always preserve special metric properties in the Hermitian non-Kähler setting. In this paper, we find necessary conditions for th…

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

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

Deformations of balanced metrics

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

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