Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 214-222
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A. E. Ershova. Automorphisms of 2-Nondegenerate Hypersurfaces in $\mathbb C^3$. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 214-222. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a5/
@article{MZM_2001_69_2_a5,
author = {A. E. Ershova},
title = {Automorphisms of {2-Nondegenerate} {Hypersurfaces} in $\mathbb C^3$},
journal = {Matemati\v{c}eskie zametki},
pages = {214--222},
year = {2001},
volume = {69},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a5/}
}
TY - JOUR
AU - A. E. Ershova
TI - Automorphisms of 2-Nondegenerate Hypersurfaces in $\mathbb C^3$
JO - Matematičeskie zametki
PY - 2001
SP - 214
EP - 222
VL - 69
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a5/
LA - ru
ID - MZM_2001_69_2_a5
ER -
%0 Journal Article
%A A. E. Ershova
%T Automorphisms of 2-Nondegenerate Hypersurfaces in $\mathbb C^3$
%J Matematičeskie zametki
%D 2001
%P 214-222
%V 69
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a5/
%G ru
%F MZM_2001_69_2_a5
An exact upper estimate is obtained for the dimension of the automorphism group of a 2-dimensional hypersurface in $\mathbb C^3$ possessing a Lie group structure.
[1] Chern S. S., Moser J. K., “Real hypersurfaces in complex manifolds”, Acta Math., 133:3–4 (1974), 219–271 | DOI | MR
[2] Beloshapka V. K., “O golomorfnykh preobrazovaniyakh kvadriki”, Matem. sb., 182:2 (1991), 203–219 | Zbl
[3] Stanton N. K., “Infinitesimal CR automorphisms of real hypersurfaces”, Amer. J. Math., 118:1 (1996), 209–233 | DOI | MR | Zbl
[4] Ebenfelt P., “Normal forms and biholomorphic equivalence of real hypersurfaces in $\mathbb C^3$”, Indiana Univ. Math. J., 42 (1998), 311–366 | MR
[5] Beloshapka V. K., “Automorphisms of degenerate hypersurfaces in $\mathbb C^2$ and a dimension conjecture”, Russian J. Math. Phys., 4:3 (1997), 393–396 | MR