Classification of abelian complex structures on 6-dimensional Lie algebras

Details Classification of abelian complex structures on 6-dimensional Lie algebras Classification of abelian complex structures on 6-dimensional Lie algebras

2009-08-21

arxiv.org/abs/0908.3213v2

Mathematics

Rings and Algebras

21 pages, minor corrections in the proof of Proposition 2.2 and one reference added. To appear in Journal of the London Mathem

Scientific paper

We classify the 6-dimensional Lie algebras that can be endowed with an
abelian complex structure and parameterize, on each of these algebras, the
space of such structures up to holomorphic isomorphism.

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