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Mappings of real algebraic hypersurfaces
Author(s):
M. S.
Baouendi;
Linda Preiss
Rothschild
Journal:
J. Amer. Math. Soc.
8
(1995),
997-1015.
MSC:
Primary 32H02;
Secondary 32C16, 32F25
MathSciNet review:
1317227
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References:
-
- [A1]
- M. Artin, On the solutions of analytic equations, Invent. Math. 5 (1968), 277-291. MR 0232018 (38:344)
- [A2]
- -, Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 23-58. MR 0268188 (42:3087)
- [BJT]
- M.S. Baouendi, H. Jacobowitz, and F. Treves, On the analyticity of CR mappings, Ann. of Math. (2) 122 (1985), 365-400. MR 808223 (87f:32044)
- [BR1]
- M.S. Baouendi and L.P. Rothschild, Germs of CR maps between real analytic hypersurfaces, Invent. Math. 93 (1988), 481-500. MR 952280 (90a:32036)
- [BR2]
- -, Geometric properties of smooth and holomorphic mappings between hypersurfaces in complex space, J. Differential Geom. 31 (1990), 473-499. MR 1037411 (91g:32032)
- [BR3]
- -, Images of real hypersurfaces under holomorphic mappings, J. Differential Geom. 36 (1992), 75-88. MR 1168982 (94i:32028)
- [BB]
- E. Bedford and S. Bell, Extension of proper holomorphic mappings past the boundary, Manuscripta Math. 50 (1985), 1-10. MR 784136 (86h:32041)
- [BM]
- S. Bochner and W. T. Martin, Several complex variables, Princeton Univ. Press, Princeton, NJ, 1948. MR 0027863 (10:366a)
- [CM]
- S.S. Chern and J.K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. MR 0425155 (54:13112)
- [DL]
- J. Denef and L. Lipschitz, Power series solutions of algebraic differential equations, Math. Ann. 267 (1984), 213-238. MR 738249 (85j:12010)
- [DF]
- K. Diederich and J.E. Fornaess, Proper holomorphic mappings between real-analytic pseudoconvex domains in
, Math. Ann. 282 (1988), 681-700. MR 970228 (89m:32045) - [DW]
- K. Diederich and S. Webster, A reflection principle for degenerate hypersurfaces, Duke Math. J. 47 (1980), 835-843. MR 596117 (82j:32046)
- [Fo]
- F. Forstnerič, Extending proper holomorphic mappings of positive codimension, Invent. Math. 95 (1989), 31-62. MR 969413 (89j:32033)
- [Fr]
- M. Freeman, Real submanifolds with degenerate Levi form, Several Complex Variables, Part I, Proc. Sympos. Pure Math., vol. 30, Amer. Math. Soc., Providence, RI, 1977, pp. 141-147. MR 0457767 (56:15971)
- [GR]
- R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, NJ, 1965. MR 0180696 (31:4927)
- [H]
- X. Huang, On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions (to appear). MR 1296739 (95i:32030)
- [K]
- J.J. Kohn, Boundary behavior of
on weakly pseudoconvex manifolds of dimension two, J. Differential Geom. 6 (1972), 523-542. MR 0322365 (48:727) - [N]
- K. Nomitzu, Lie groups and differential geometry, Publ. Math. Soc. Japan, Tokyo, 1956. MR 0084166 (18:821d)
- [P]
- H. Poincaré, Les fonctions analytiques de deux variables et la représentation conforme, Rend. Circ. Mat. Palermo (2) 23 (1907), 185-220.
- [S]
- N. Stanton, Infinitesimal CR automorphisms of rigid hypersurfaces, Amer. Math. J. 117 (1995), 141-167. MR 1314461 (96a:32036)
- [T]
- N. Tanaka, On the pseudo-conformal geometry of hypersurfaces of the space of
complex variables, J. Math. Soc. Japan 14 (1962), 397-429. MR 0145555 (26:3086) - [W1]
- S.M. Webster, On the mapping problem for algebraic real hypersurfaces, Invent. Math. 43 (1977), 53-68. MR 0463482 (57:3431)
- [W2]
- -, On mapping an
-ball into an -ball in complex space, Pacific J. Math. 81 (1979), 267-272. MR 543749 (81h:32022)
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Additional Information:
DOI:
10.1090/S0894-0347-1995-1317227-3
PII:
S0894-0347-1995-1317227-3
Copyright of article:
Copyright
1995,
American Mathematical Society
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