Geodesic
On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces
Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 349-358

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In this paper we study the dependence of the local geometry of real-analytic hypersurfaces in $\mathbb C^n$ on the dimension of the group of biholomorphic automorphisms of this surface. We also classify the hypersurfaces in terms of this group. We present some examples showing that the classes of the given construction are not empty. We find a new formulation of the Freeman theorem on the so-called straightening of a real-analytic $\operatorname{CR}$-submanifold in $\mathbb C^n$ with degenerate Levi form of constant rank. 
@article{MZM_1997_61_3_a3,
     author = {A. S. Labovskii},
     title = {On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {349--358},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a3/}
}
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A. S. Labovskii. On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces. Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 349-358. http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a3/