Tommaso Sferruzza

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math.DG2026

Non-trivial ABC-Massey products on complex parallelisable solvmanifolds

Nunzia Cesarino, Tommaso Sferruzza, Adriano Tomassini

Triple Aeppli--Bott--Chern--Massey products, shortly, triple ABC-Massey products are higher-order operations on the Bott--Chern and Aeppli cohomologies of a compact complex manifol…

math.DG2026

Dolbeault formality for complex nilmanifolds

Tommaso Sferruzza, Misha Verbitsky

A quasi-isomorphism of differential graded algebras (DGA) is a multiplicative map inducing an isomorphism on cohomology. A DGA is called formal if it can be connected by a chain of…

math.DG2025

Hermitian geometrically formal manifolds

Tommaso Sferruzza, Adriano Tomassini

We study Hermitian geometrically formal metrics on compact complex manifolds, focusing on Dolbeault, Bott-Chern, and Aeppli cohomologies. We establish topological and cohomological…

math.DG2024

Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds

Tommaso Sferruzza, Adriano Tomassini

We study the interplay between geometrically-Bott-Chern-formal metrics and SKT metrics. We prove that a $6$ -dimensional nilmanifold endowed with a invariant complex structure admit…

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…