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arXiv · 2207.08460

On linearization of biholomorphism with non-semi-simple linear part at a fixed point

Yue MI·Laurent Stolovitch
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Abstract

We prove the holomorphic linearizability of germs of biholomorphisms of (C n , 0), fixing the origin, point at which the linear part has nontrivial Jordan blocks under the following assumptions : We first assume the eigenvalues are of modulus less or equal than 1, and that they are non-resonant. We also assume that they satisfied not only a classical Diophantine condition but also new Diophantine-like conditions related to quasi-resonance phenomena.

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Yue MI, Laurent Stolovitch. 2022-07-18. On linearization of biholomorphism with non-semi-simple linear part at a fixed point. https://arxiv.org/abs/2207.08460

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