PreprintCC BY 4.0arXiv
Holomorphic flexibility properties of strongly commuting varieties
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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BibTeX
@misc{giannini2026holomorphic,
title = {{Holomorphic flexibility properties of strongly commuting varieties}},
author = {Stefano Giannini},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05905},
eprint = {2611.05905},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05905},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Holomorphic flexibility properties of strongly commuting varieties
AU - Stefano Giannini
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05905
UR - https://arxiv.org/abs/2611.05905
AB - 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.
ER -