Holomorphic mappings between algebraic hypersurfaces in complex space

M. S. Baouendi; L. P. Rothschild

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-7

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Baouendi, M. S., and Rothschild, L. P.. "Holomorphic mappings between algebraic hypersurfaces in complex space." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-7. <http://eudml.org/doc/112106>.

@article{Baouendi1994-1995,
author = {Baouendi, M. S., Rothschild, L. P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {algebraic mappings; real algebraic hypersurfaces; holomorphic mappings},
language = {eng},
pages = {1-7},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Holomorphic mappings between algebraic hypersurfaces in complex space},
url = {http://eudml.org/doc/112106},
year = {1994-1995},
}

TY - JOUR
AU - Baouendi, M. S.
AU - Rothschild, L. P.
TI - Holomorphic mappings between algebraic hypersurfaces in complex space
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 7
LA - eng
KW - algebraic mappings; real algebraic hypersurfaces; holomorphic mappings
UR - http://eudml.org/doc/112106
ER -

References

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  1. [BHR] M.S. Baouendi, X. Huang, and L.P. Rothschild, Regularity of CR mappings between algebraic hypersurfaces, to appear. Zbl0855.32009MR1389959
  2. [BJT] M.S. Baouendi, H. Jacobowitz and F. Treves, On the analyticity of CR mappings, Annals of Math.122 (1985), 365-400. Zbl0583.32021MR808223
  3. [BR1] M.S. Baouendi and L.P. Rothschild, Germs of CR maps between real analytic hypersurfaces, Invent. Math.93 (1988), 481-500. Zbl0653.32020MR952280
  4. [BR2], Geometric properties of smooth and holomorphic mappings between hypersurfaces in complex space, J. Diff. Geom.31 (1990), 473-499. 
  5. [BR3], Images of real hypersurfaces under holomorphic mappings, J. Diff. Geom.36 (1992), 75-88. Zbl0770.32009MR1168982
  6. [BR4]_, Mappings of real algebraic hypersurfaces, to appear, J. Amer. Math. Soc.. MR1317227
  7. [BB] E. Bedford and S. Bell, Extension of proper holomorphic mappings past the boundary, Manuscripta Math.50 (1985), 1-10. Zbl0583.32044MR784136
  8. [CM] S.S. Chern and J.K. Moser, Real hypersurfaces in complex manifolds, Acta Math.133 (1974), 219-271. Zbl0302.32015MR425155
  9. [DW] K. Diederich and S. Webster, A reflection principle for degenerate hypersurfaces, Duke Math. J.47 (1980), 835-843. Zbl0451.32008MR596117
  10. [Fo] F. Forstnerič, Extending proper holomorphic mappings of positive codimension, Invent. Math.95 (1989), 31-62. Zbl0633.32017MR969413
  11. [H] X. Huang, On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions, Ann. Inst. Fourier, Grenoble44 (1994), 433-463. Zbl0803.32011MR1296739
  12. [P] H. Poincaré, Les fonctions analytiques de deux variables et la représentation conforme, Rend. Circ. Mat. Palermo, II. Ser. 23 (1907), 185-220. Zbl38.0459.02JFM38.0459.02
  13. [S] N. Stanton, Infinitesimal CR automorphisms of rigid hypersurfaces, Amer. Math. J.117 (1995), 141-167. Zbl0826.32013MR1314461
  14. [T] N. Tanaka, On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables, J. Math. Soc. Japan14 (1962), 397-429. Zbl0113.06303MR145555
  15. [W1] S.M. Webster, On the mapping problem for algebraic real hypersurfaces, Invent. Math.43 (1977), 53-68. Zbl0348.32005MR463482
  16. [W2], On mapping an n-ball into an (n + 1)-ball in complex space, Pac. J. Math.81 (1979), 267-272. Zbl0379.32018MR543749

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