Almost abelian complex nilmanifolds
Differential Geometry
2025-02-06 v1 Algebraic Geometry
Abstract
We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds.
Cite
@article{arxiv.2502.03306,
title = {Almost abelian complex nilmanifolds},
author = {Adrián Andrada and Romina M. Arroyo and María L. Barberis and Sönke Rollenske and Konstantin Wehler},
journal= {arXiv preprint arXiv:2502.03306},
year = {2025}
}
Comments
19 pages; comments welcome