Divergent CR-equivalences and meromorphic differential equations

Using the analytic theory of di erential equations, we construct, in any positive CR-dimension and CR-codimension, examples of formally but not holomorphically equivalent real-analytic CR-submanifolds in complex space.

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2016-01, Vol.18 (12), p.2785-2819
Hauptverfasser: Kossovskiy, Ilya, Shafikov, Rasul
Format: Artikel
Sprache:eng
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Zusammenfassung:Using the analytic theory of di erential equations, we construct, in any positive CR-dimension and CR-codimension, examples of formally but not holomorphically equivalent real-analytic CR-submanifolds in complex space.
ISSN:1435-9855
1435-9863
DOI:10.4171/JEMS/653