Riccardo Piovani

activity

20182024

most citedBott-Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

3 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

math.DG2024

On the cohomology of the Bigolin complex

Riccardo Piovani

Given a compact complex manifold, we study the cohomology and the Hodge theory for the elliptic complex of differential forms defined by Bigolin in 1969 and recently referred to as…

math.DG2022★ 3 cited

Bott-Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

Riccardo Piovani, Nicoletta Tardini

Let $(X, J, ω)$ be a compact $2 n$ -dimensional almost Kähler manifold. We prove primitive decompositions for Bott-Chern and Aeppli harmonic forms in special bidegrees and show that su…

math.DG2019

Aeppli cohomology and Gauduchon metrics

Riccardo Piovani, Adriano Tomassini

Let $(M, J, g, ω)$ be a complete Hermitian manifold of complex dimension $n \geq 2$ . Let $1 \leq p \leq n - 1$ and assume that $ω^{n - p}$ is $(\partial + \partial)$ -bounded. We prove t…

math.CV2018

Bott-Chern Harmonic Forms on Stein Manifolds

Riccardo Piovani, Adriano Tomassini

Let $M$ be an $n$ -dimensional $d$ -bounded Stein manifold $M$ , i.e., a complex $n$ -dimensional manifold $M$ admitting a smooth strictly plurisubharmonic exhaustion $ρ$ and endowed w…