Geodesic
On local automorphisms of real analytic hypersurfaces
Izvestiya. Mathematics, Tome 18 (1982) no. 3, pp. 537-559 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the author studies biholomorphic transformations of $\mathbf C^n$ carrying a nondegenerate real analytic surface $M$ into itself and leaving a particular point $\xi\in M$ fixed. The first estimates of the dimensions of such groups of transformations were obtained by V. K. Beloshapka (see Izv. Akad. Nauk SSSR Ser. Mat., 1979, v. 43, No 2, pp. 243–266). In the present paper it is proved that the dimension of such groups for a nonspherical surface $M$ does not exceed $(n-1)^2$. Bibliography: 2 titles. 
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     author = {A. V. Loboda},
     title = {On local automorphisms of real analytic hypersurfaces},
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A. V. Loboda. On local automorphisms of real analytic hypersurfaces. Izvestiya. Mathematics, Tome 18 (1982) no. 3, pp. 537-559. http://geodesic.mathdoc.fr/item/IM2_1982_18_3_a6/

[1] Beloshapka V. K., “O razmernosti gruppy avtomorfizmov analiticheskoi giperpoverkhnosti”, Izv. AN SSSR. Ser. matem., 43:2 (1979), 243–266 | MR | Zbl

[2] Chern S. S., Moser J. K., “Real Hypersurfaces in Complex Manifolds”, Acta Math., 133:3 (1974), 219–271 | DOI | MR