Mappings of real algebraic hypersurfaces
Journal of the American Mathematical Society, Tome 08 (1995) no. 4, pp. 997-1015

Voir la notice de l'article provenant de la source American Mathematical Society

@article{10_1090_S0894_0347_1995_1317227_3,
     author = {Baouendi, M. S. and Rothschild, Linda Preiss},
     title = {Mappings of real algebraic hypersurfaces},
     journal = {Journal of the American Mathematical Society},
     pages = {997--1015},
     publisher = {mathdoc},
     volume = {08},
     number = {4},
     year = {1995},
     doi = {10.1090/S0894-0347-1995-1317227-3},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1317227-3/}
}
TY  - JOUR
AU  - Baouendi, M. S.
AU  - Rothschild, Linda Preiss
TI  - Mappings of real algebraic hypersurfaces
JO  - Journal of the American Mathematical Society
PY  - 1995
SP  - 997
EP  - 1015
VL  - 08
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1317227-3/
DO  - 10.1090/S0894-0347-1995-1317227-3
ID  - 10_1090_S0894_0347_1995_1317227_3
ER  - 
%0 Journal Article
%A Baouendi, M. S.
%A Rothschild, Linda Preiss
%T Mappings of real algebraic hypersurfaces
%J Journal of the American Mathematical Society
%D 1995
%P 997-1015
%V 08
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1317227-3/
%R 10.1090/S0894-0347-1995-1317227-3
%F 10_1090_S0894_0347_1995_1317227_3
Baouendi, M. S.; Rothschild, Linda Preiss. Mappings of real algebraic hypersurfaces. Journal of the American Mathematical Society, Tome 08 (1995) no. 4, pp. 997-1015. doi: 10.1090/S0894-0347-1995-1317227-3

[1] Artin, M. On the solutions of analytic equations Invent. Math. 1968 277 291

[2] Artin, M. Algebraic approximation of structures over complete local rings Inst. Hautes Études Sci. Publ. Math. 1969 23 58

[3] Baouendi, M. S., Jacobowitz, H., Trã¨Ves, F. On the analyticity of CR mappings Ann. of Math. (2) 1985 365 400

[4] Baouendi, M. S., Rothschild, Linda Preiss Germs of CR maps between real analytic hypersurfaces Invent. Math. 1988 481 500

[5] Baouendi, M. S., Rothschild, Linda Preiss Geometric properties of mappings between hypersurfaces in complex space J. Differential Geom. 1990 473 499

[6] Baouendi, M. S., Rothschild, Linda Preiss Images of real hypersurfaces under holomorphic mappings J. Differential Geom. 1992 75 88

[7] Bedford, Eric, Bell, Steve Extension of proper holomorphic mappings past the boundary Manuscripta Math. 1985 1 10

[8] Bochner, Salomon, Martin, William Ted Several Complex Variables 1948

[9] Chern, S. S., Moser, J. K. Real hypersurfaces in complex manifolds Acta Math. 1974 219 271

[10] Denef, J., Lipshitz, L. Power series solutions of algebraic differential equations Math. Ann. 1984 213 238

[11] Diederich, K., Fornã¦Ss, J. E. Proper holomorphic mappings between real-analytic pseudoconvex domains in 𝐶ⁿ Math. Ann. 1988 681 700

[12] Diederich, K., Webster, S. M. A reflection principle for degenerate real hypersurfaces Duke Math. J. 1980 835 843

[13] Forstneriä, Franc Extending proper holomorphic mappings of positive codimension Invent. Math. 1989 31 61

[14] Freeman, Michael Real submanifolds with degenerate Levi form 1977 141 147

[15] Gunning, Robert C., Rossi, Hugo Analytic functions of several complex variables 1965

[16] Huang, Xiao Jun On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions Ann. Inst. Fourier (Grenoble) 1994 433 463

[17] Kohn, J. J. Boundary behavior of 𝛿 on weakly pseudo-convex manifolds of dimension two J. Differential Geometry 1972 523 542

[18] Nomizu, Katsumi Lie groups and differential geometry 1956

[19] Stanton, Nancy K. Infinitesimal CR automorphisms of rigid hypersurfaces Amer. J. Math. 1995 141 167

[20] Tanaka, Noboru On the pseudo-conformal geometry of hypersurfaces of the space of 𝑛 complex variables J. Math. Soc. Japan 1962 397 429

[21] Webster, S. M. On the mapping problem for algebraic real hypersurfaces Invent. Math. 1977 53 68

[22] Webster, S. M. On mapping an 𝑛-ball into an (𝑛+1)-ball in complex spaces Pacific J. Math. 1979 267 272

Cité par Sources :