A. Tomassini

activity

20052026

\partial \partial

-Lemma and Bott-Chern cohomology

90 citations · 399 across the 51 of their papers we have counts for

collaborators

Showing 2023 · math.DGShow all

2 papers · 2 filters

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★ 3 cited

On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms

Lorenzo Sillari, Adriano Tomassini

In this paper we introduce several new cohomologies of almost complex manifolds, among which stands a generalization of Bott-Chern and Aeppli cohomologies defined using the operato…

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

On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms

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