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arXiv · 2611.05905

Holomorphic flexibility properties of strongly commuting varieties

Stefano Giannini
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Abstract

We study holomorphic flexibility properties of the strongly commuting variety of a complex semisimple algebraic group $G$. We prove that the smooth locus of the strongly commuting variety of $G$ is Oka-$1$. We also prove that the smooth locus of the commuting variety of a semisimple complex Lie algebra is Oka-$1$, and that it contains a Zariski dense open subset which is algebraically elliptic.

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Stefano Giannini. 2026-11-04. Holomorphic flexibility properties of strongly commuting varieties. https://arxiv.org/abs/2611.05905

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