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
Publié le : 2000-07-05
Classification:
tree of counterexamples,
reduction of the first characteristic variety,
double reflection,
algebraicity,
reflection principle,
Holomorphic mappings,
32V25, 32V40, 32V15, 32V10,
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
@article{hal-00003376,
author = {Merker, Joel},
title = {Note on double reflection and algebraicity of holomorphic mappings},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003376}
}
Merker, Joel. Note on double reflection and algebraicity of holomorphic mappings. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003376/