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arXiv · 2501.08740

Invariant and non-invariant almost complex structures on compact quotients of Lie groups

Lorenzo Sillari·Adriano Tomassini
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Abstract

In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties. We focus on the different behavior of invariant and non-invariant structures, with a special attention to their canonical bundle and Kodaira dimension. We provide new examples of computations of Kodaira dimension of invariant and non-invariant structures.

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Lorenzo Sillari, Adriano Tomassini. 2025-01-15. Invariant and non-invariant almost complex structures on compact quotients of Lie groups. https://doi.org/10.1515/coma-2025-0017

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