Divergent CR-Equivalences and Meromorphic Differential Equations

Divergent CR-Equivalences and Meromorphic Differential Equations

Using the analytic theory of differential equations, we construct examples of formally but not holomorphically equivalent real-analytic Levi nonflat hypersurfaces in \(\CC{n}\) together with examples of such hypersurfaces with divergent formal CR-automorphisms.

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Veröffentlicht in:arXiv.org 2013-10
Hauptverfasser: Kossovskiy, I, Shafikov, R
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Differential equations
Equivalence
Hyperspaces
Mathematical analysis
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Zusammenfassung:Using the analytic theory of differential equations, we construct examples of formally but not holomorphically equivalent real-analytic Levi nonflat hypersurfaces in \(\CC{n}\) together with examples of such hypersurfaces with divergent formal CR-automorphisms.
ISSN:2331-8422