A. Cattaneo

activity

20112024

most citedFiniteness of Klein actions and real structures on compact hyperkähler manifolds

13 citations · 42 across the 13 of their papers we have counts for

collaborators

17 papers

math.DG2024

$\partial \partial ˉ$ -Lemma and $p$ -Kähler structures on families of solvmanifolds

Andrea Cattaneo, Adriano Tomassini

We provide families of compact $(n + 1)$ -dimensional complex non Kähler manifolds satisfying the $\partial \partial ˉ$ -Lemma, with holomoprhically trivial canonical bundle, carr…

math.CV2023

Almost complex manifolds from the point of view of Kodaira dimension

Andrea Cattaneo

In complex geometry a classical and useful invariant of a complex manifold is its Kodaira dimension. Since its introduction by Iitaka in the early 70's, its behavior under deformat…

math.AG2023

A note on the automorphism group of Kodaira surfaces

Andrea Cattaneo

We give an explicit description of the automorphism groups of primary and secondary Kodaira surfaces. We first prove that every automorphism of a Kodaira surface lifts to an affine…

math.DG2022

Almost complex parallelizable manifolds: Kodaira dimension and special structures

Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini

We study the Kodaira dimension of a real parallelizable manifold $M$ , with an almost complex structure $J$ in standard form with respect to a given parallelism. For $X = (M, J)$ we…

math.DG2022★ 2 cited

Primitive decompositions of Dolbeault harmonic forms on compact almost-Kähler manifolds

Andrea Cattaneo, Nicoletta Tardini, Adriano Tomassini

Let $(X, J, g, ω)$ be a compact $2 n$ -dimensional almost-Kähler manifold. We prove primitive decompositions of $\partial$ -, $\partial$ -harmonic forms on $X$ in bidegree $(1,…

math.DG2020

On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures