Giovanni Bazzoni

collaborators

3 papers

math.DG2026

Purely coclosed $G_{2}$ -structures on nilmanifolds -- II

Giovanni Bazzoni, Giorgia Petracci

This paper completes the classification of seven-dimensional nilpotent Lie groups endowed with a left-invariant purely coclosed $G_{2}$ -structure, initiated by the first-named…

math.RA2026

8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\neq = 2, 3$

Giovanni Bazzoni, Juan Rojo

We provide a self contained, elementary, and geometrically-flavored classification of $8$ -dimensional $2$ -step nilpotent Lie algebras over algebraically closed fields of characteri…

math.DG2025

Complex symplectic structures: deformations and cohomology

Giovanni Bazzoni, Marco Freibert, Adela Latorre +1

We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of co…

Purely coclosed G2​-structures on nilmanifolds -- II

8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char =2,3

Complex symplectic structures: deformations and cohomology

Purely coclosed $G_{2}$ -structures on nilmanifolds -- II

8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char $\neq = 2, 3$