Note on double reflection and algebraicity of holomorphic mappings

Joël Merker

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 4, page 689-721
  • ISSN: 0240-2963

How to cite

top

Merker, Joël. "Note on double reflection and algebraicity of holomorphic mappings." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.4 (2000): 689-721. <http://eudml.org/doc/73533>.

@article{Merker2000,
author = {Merker, Joël},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {real analytic manifolds; Segre variety},
language = {eng},
number = {4},
pages = {689-721},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Note on double reflection and algebraicity of holomorphic mappings},
url = {http://eudml.org/doc/73533},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Merker, Joël
TI - Note on double reflection and algebraicity of holomorphic mappings
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 4
SP - 689
EP - 721
LA - eng
KW - real analytic manifolds; Segre variety
UR - http://eudml.org/doc/73533
ER -

References

top
  1. [1] Baouendi ( M.S.) and Rothschild ( L.P.). — Mappings of real algebraic hypersurfaces, Journal of the American Mathematical Society, 8 (1995), 997-1015. Zbl0869.14025MR1317227
  2. [2] Baouendi ( M.S.), Ebenfelt ( P.) and Rothschild ( L.P.),. - Algebraicity of holomorphic mappings between real algebraic sets in Cn, Acta Mathematica, 177 (1996), 225-273. Zbl0890.32005MR1440933
  3. [3] Baouendi ( M.S.), Ebenfelt ( P.) and Rothschild ( L.P.). — Parametrization of local biholomorphisms of real analytic hypersurfaces, Asian Journal of Mathematics1 (1997), 1-16. Zbl0943.32021MR1480988
  4. [4] Baouendi ( M.S.), Ebenfelt ( P.) and Rothschild ( L.P.). — Real hypersurfaces in complex space and their mappings, Princeton Mathematical Series47, Princeton1999. Zbl0944.32040MR1668103
  5. [5] Chirka ( E. ) . — Complex Analytic Sets. Kluwer Academic Publishers, Dordrecht, 1989. Zbl0683.32002MR1111477
  6. [6] Coupet ( B.), Meylan ( F.) and Sukhov ( A.). — Holomorphic maps of algebraic CR manifolds, International Mathematics Research Notices, 1999, no 1, 1-29. Zbl0926.32044MR1666972
  7. [7] Coupet ( B.) , Pinchuk ( S.) and Sukhov ( A.). - On partial analyticity of CR mappings, Math. Z., 235 (2000), 541-557. Zbl0972.32008MR1800211
  8. [8] Damour ( S.). — 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. SciParis (2001). MR1834056
  9. [9] Huang ( X.). - On the mapping problem for algebraic real hypersurfaces in the complex euclidean spaces of different dimensions, Annales Institut Fourier Grenoble, 44 (1994), 433-463. Zbl0803.32011MR1296739
  10. [10] Merker ( J.). — 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. Zbl0998.32019MR1894150
  11. [11] Merker ( J.). — Vector field construction of Segre sets, Preprint, Université de Provence, 28, December 1998. arXiv.org/math/abs/9901010. 
  12. [12] Merker ( J.). — Sur la réduction des variétés de segre, En préparation. 
  13. [13] Sharipov ( R.) and Sukhov ( A.). — On CR mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions, Transactions of the Mathematical Society348 (1996), 767-780. Zbl0851.32017MR1325920
  14. [14] Zaitsev ( D.). — Algebraicity of local holomorphisms between real algebraic submanifolds of complex spaces. Acta Mathematica183 (1999), 273-305. Zbl1005.32014MR1738046

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.