We study the formal conjugacy properties of germs of complex analytic diffeomorphisms defined in the neighborhood of the origin of ℂ n . More precisely, we are interested in the nature of formal conjugations along the fixed points set. We prove that there are formally conjugated local diffeomorphisms φ, η such that every formal conjugation [^(s)]hat sigma (i.e. h°[^(s)] = [^(s)] °feta circ hat sigma = hat sigma circ phi) does not extend to the fixed points set Fix(φ) of φ, meaning that it is not transversally formal (or semi-convergent) along Fix(φ).
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机译:我们研究了在up n sup>的起源附近定义的复杂分析亚型的病菌的形式共轭特性。更确切地说,我们对沿着定点集的形式共轭的性质感兴趣。我们证明存在形式上共轭的局部微分φ,使得每个形式共轭[^(s)] hat sigma(即h°[^(s)] = [^(s)]°feta circ hat sigma = hat sigma circ phi)不会扩展到φ的Fix(φ)的固定点,这意味着它不是沿着Fix(φ)的横向形式(或半收敛)。
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