8 papers
Long-time existence of the pluriclosed flow on some fibrations
Elia Fusi, James Stanfield, Luigi Vezzoni
We prove long-time existence of the pluriclosed flow on certain compact quotients of Lie groups for non-invariant initial data, as well as on some holomorphic principal torus bundl…
A note on the pluriclosed flow on balanced manifolds with
Anna Fino, Luigi Vezzoni
We conjecture that on any compact balanced manifold with , the pluriclosed flow admits long-time solutions for every initial pluriclosed metric, an…
On the Calabi estimate of geometric flows of Hermitian metrics
Marco Gallo, Luigi Vezzoni
We establish a general result ensuring a a priori bound for smooth curves of Hermitian metrics. As a main application, we obtain a new regularity result for Hermitian curvatu…
$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces
Anna Fino, Gueo Grantcharov, Nicoletta Tardini +2
In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \par…
The heterotic G-system on 2-step nilmanifolds endowed with principal torus bundles
Andrei Moroianu, Alberto Raffero, Luigi Vezzoni
We study the geometric heterotic G-system on 7-dimensional 2-step nilmanifolds endowed with principal torus bundles and with a prescribed flat tangent bundle…
A remark on the second order estimates for the quaternionic Calabi-Yau problem on hyperkähler manifolds
Giovanni Gentili, Luigi Vezzoni
We revisit the second order estimate for solutions to the quaternionic Calabi-Yau problem on hyperkähler manifolds, originally established by Dinew and Sroka. In this note, we pre…