Geodesic
Symmetries of Real Hypersurfaces in Complex 3-Space
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 171-179

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The main result of the paper consists in the proof of the fact that for any germ of a real analytic hypersurface in complex 3-space the following alternative (dimension conjecture) takes place: either the dimension of the group of holomorphic symmetries of the germ is at most the dimension of that of a nondegenerate hyperquadric (the latter equals 15), or the group is infinite-dimensional. We also discuss mistakes found in A. Ershova's paper. 
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     author = {V. K. Beloshapka},
     title = {Symmetries of {Real} {Hypersurfaces} in {Complex} {3-Space}},
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V. K. Beloshapka. Symmetries of Real Hypersurfaces in Complex 3-Space. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 171-179. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a1/