Erratum to: Holomorphic Linearization of Commuting Germs of Holomorphic Maps
نویسندگان
چکیده
منابع مشابه
Holomorphic Motions, Fatou Linearization, and Quasiconformal Rigidity for Parabolic Germs
By applying holomorphic motions, we prove that a parabolic germ is quasiconformal rigid, that is, any two topologically conjugate parabolic germs are quasiconformally conjugate and the conjugacy can be chosen to be more and more near conformal as long as we consider these germs defined on smaller and smaller neighborhoods. Before to prove this theorem, we use the idea of holomorphic motions to ...
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Differential fields of germs of continuous real valued functions of one real variable (Hardy fields) have the property that all elements have limits in the extended real numbers and thus have a canonical valuation. For differential fields of holomorphic germs this is not generally the case. We provide a criterion for differential fields of holomorphic germs for its elements to have uniform limi...
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Let M be a two dimensional complex manifold, p ∈ M and F a germ of holomorphic foliation of M at p. Let S ⊂ M be a germ of an irreducible, possibly singular, curve at p in M which is a separatrix for F . We prove that if the Camacho-Sad-Suwa index Ind(F , S, p) 6∈ Q ∪ {0} then there exists another separatrix for F at p. A similar result is proved for the existence of parabolic curves for germs ...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2012
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-012-9318-0