90 citations · 655 across the 56 of their papers we have counts for
8 papers · 1 filter
Stability of holomorphically-parallelizable manifolds
Daniele Angella, Adriano Tomassini
We prove a stability theorem for families of holomorphically-parallelizable manifolds in the category of Hermitian manifolds.
On Bott-Chern cohomology and formality
Daniele Angella, Adriano Tomassini
We study a geometric notion related to formality for Bott-Chern cohomology on complex manifolds.
Hodge theory for twisted differentials
Daniele Angella, Hisashi Kasuya
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class $\mathcal{C}…
On cohomological decomposition of generalized-complex structures
Daniele Angella, Simone Calamai, Adela Latorre
We study properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the -pure-and-fullness introduced by…
Cohomologies of generalized complex manifolds and nilmanifolds
Daniele Angella, Simone Calamai, Hisashi Kasuya
We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the ca…
Inequalities à la Frölicher and cohomological decompositions
Daniele Angella, Adriano Tomassini
We study Bott-Chern and Aeppli cohomologies of a vector space endowed with two anti-commuting endomorphisms whose square is zero. In particular, we prove an inequality à la Frölich…
On the -Lemma and Bott-Chern cohomology
Daniele Angella, Adriano Tomassini
On a compact complex manifold , we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if satisfies the $\partial\ove…
On Bott-Chern cohomology of compact complex surfaces
Daniele Angella, Georges Dloussky, Adriano Tomassini
We study Bott-Chern cohomology on compact complex non-Kähler surfaces. In particular, we compute such a cohomology for compact complex surfaces in class and for compac…