关于全态 $\mathbb{C}^*$ 作用

arXiv - MATH - Complex Variables Pub Date : 2024-08-19 DOI:arxiv-2408.09625

Víctor León, Bruno Scárdua

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引用次数: 0

摘要

本文研究复数乘法组在复数流形上围绕奇点（定点）的全态作用。我们提出了作用胚芽的线性化结果，以及流形上某些条件下整个作用的线性化结果。这可以看作是对铃木 M. 和其他作者之前研究成果的补充。

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On holomorphic $\mathbb{C}^*$-actions

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.

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arXiv - MATH - Complex Variables

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