@article{AFST_2000_6_9_4_689_0,
author = {Jo\"el Merker},
title = {Note on double reflection and algebraicity of holomorphic mappings},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {689--721},
year = {2000},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 9},
number = {4},
doi = {10.5802/afst.978},
mrnumber = {1838145},
zbl = {0998.32020},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.978/}
}
TY - JOUR AU - Joël Merker TI - Note on double reflection and algebraicity of holomorphic mappings JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2000 SP - 689 EP - 721 VL - 9 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.978/ DO - 10.5802/afst.978 LA - en ID - AFST_2000_6_9_4_689_0 ER -
%0 Journal Article %A Joël Merker %T Note on double reflection and algebraicity of holomorphic mappings %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2000 %P 689-721 %V 9 %N 4 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.978/ %R 10.5802/afst.978 %G en %F AFST_2000_6_9_4_689_0
Joël Merker. Note on double reflection and algebraicity of holomorphic mappings. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 9 (2000) no. 4, pp. 689-721. doi: 10.5802/afst.978
[1] ) and ). - Mappings of real algebraic hypersurfaces, Journal of the American Mathematical Society, 8 (1995), 997-1015. | Zbl | MR
[2] ), ) and ),. - Algebraicity of holomorphic mappings between real algebraic sets in Cn, Acta Mathematica, 177 (1996), 225-273. | Zbl | MR
[3] ), ) and ). - Parametrization of local biholomorphisms of real analytic hypersurfaces, Asian Journal of Mathematics 1 (1997), 1-16. | Zbl | MR
[4] ), ) and ). - Real hypersurfaces in complex space and their mappings, Princeton Mathematical Series 47, Princeton 1999. | Zbl | MR
[5] ) . - Complex Analytic Sets. Kluwer Academic Publishers, Dordrecht, 1989. | Zbl | MR
[6] ), ) and ). - Holomorphic maps of algebraic CR manifolds, International Mathematics Research Notices, 1999, no 1, 1-29. | Zbl | MR
[7] ) , ) and ). - On partial analyticity of CR mappings, Math. Z., 235 (2000), 541-557. | Zbl | MR
[8] ). - Algébricité d'applications holomorphes entre sous-variétés CR réelles algébriques de Cn. Prépublication, Université de Provence, 26, Juillet 1999. À paraitre dans C. R. Acad. Sci Paris (2001). | MR
[9] ). - On the mapping problem for algebraic real hypersurfaces in the complex euclidean spaces of different dimensions, Annales Institut Fourier Grenoble, 44 (1994), 433-463. | Numdam | Zbl | MR
[10] ). - On the partial algebraicity of holomorphic mappings between real algebraic sets. Preprint, Université de Provence 7, February 1999. arXiv.org/math/abs/9906057. À paraître dans Bulletin de la Société Mathématique de France. | Numdam | Zbl | MR
[11] ). - Vector field construction of Segre sets, Preprint, Université de Provence, 28, December 1998. arXiv.org/math/abs/9901010.
[12] ). - Sur la réduction des variétés de segre, En préparation.
[13] ) and ). - On CR mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions, Transactions of the Mathematical Society 348 (1996), 767-780. | Zbl | MR
[14] ). - Algebraicity of local holomorphisms between real algebraic submanifolds of complex spaces. Acta Mathematica 183 (1999), 273-305. | Zbl | MR
Cité par Sources :