arXiv subjects

Nunzia Cesarino

Publications and source records attributed to Nunzia Cesarino.

2 recordsLinked to original sources

arXiv2026

Non-trivial ABC-Massey products on complex parallelisable solvmanifolds

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 manifold, and their non-vanishing is an invariant of its pluripotential homotopy type. We prove that every non-Abelian complex unimodular solvable Lie algebra admits a non-vanishing triple ABC--Massey product, and we deduce that so does every compact complex parallelisable solvmanifold.

math.DG↗

arXiv2025

Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds

In this paper, we present explicit computations of non-trivial triple $ABC$-Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that the {\em Bigalke-Rollenske manifold}, the {\em generalized Nakamura manifolds} satisfying some suitable assumptions and compact quotients of the solvable Lie group $\mathbb{C}^{2n}\ltimes_ρ \mathbb{C}^{2m}$ have non-vanishing triple $ABC$-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.

math.DG↗