On holomorphic $\mathbb{C}^*$-actions
Complex Variables
2024-08-26 v2
Abstract
In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of action and also for the whole action under some conditions on the manifold. This can be seen as a follow-up to previous works of M. Suzuki and other authors.
Cite
@article{arxiv.2408.09625,
title = {On holomorphic $\mathbb{C}^*$-actions},
author = {Víctor León and Bruno Scárdua},
journal= {arXiv preprint arXiv:2408.09625},
year = {2024}
}