Abstract
We prove the holomorphic linearizability of germs of biholomorphisms of $$(\mathbb {C}^n,0)$$ , fixing the origin, point at which the linear part has nontrivial Jordan blocks under the following assumptions: the eigenvalues are of modulus less or equal than 1, are non-resonant and satisfy not only a classical Diophantine condition but also new Diophantine-like conditions related to quasi-resonance phenomena.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
