Almost abelian complex nilmanifolds

2025/02/05 by Andrada, Adrián, Arroyo, Romina M., Barberis, María L. +2 · 1 citation
#17B30 #22E25 #32G05 #32Q57 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.03306

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.

Cited by

• Almost abelian pseudo-Kähler Lie algebras

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