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| HAL: hal-00003376, version 1 |
| arXiv: math.CV/9905024 |
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| Annales de la Faculté des Sciences de Toulouse 9 (2000) no.4, 689-721 |
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| Note on double reflection and algebraicity of holomorphic mappings |
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| Joel Merker 1 |
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| (1999) |
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| In this note, we provide the corrections to an article by D. Zaitsev, Acta Math., 183 (1999), 273-305. Building on a remark by S. Damour, we provide twenty counterexamples to the preprint version of the mentioned reference. Our main purpose is to establish shortly the algebraicity of a holomorphic mapping between real algebraic CR manifolds under a double reflection condition which generalizes the classical single reflection. A complete study of various double reflection conditions is also provided |
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| 1: | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Subject | : | Mathematics/Differential Geometry Mathematics/Complex Variables |
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| Holomorphic mappings – algebraicity – reflection principle – double reflection – reduction of the first characteristic variety – tree of counterexamples |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.CV/9905024 |
| hal-00003376, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00003376 | |
| oai:hal.archives-ouvertes.fr:hal-00003376 | |
| From: Joel Merker | |
| Submitted on: Monday, 29 November 2004 19:39:59 | |
| Updated on: Monday, 29 November 2004 22:13:34 | |
