Geodesic
Quadrics of codimension 4 in $\mathbb C^7$ and their automorphisms
Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 803-811.

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Automorphisms of nondegenerate $(4,3)$-quadrics are studied. We classify quadrics of this kind with nonlinear automorphisms and find the dimensions of their groups of automorphisms. 
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E. G. Anisova. Quadrics of codimension 4 in $\mathbb C^7$ and their automorphisms. Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 803-811. http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a0/

[1] Beloshapka V. K., “Konechnomernost gruppy avtomorfizmov veschestvenno-analiticheskoi poverkhnosti”, Izv. AN SSSR. Ser. matem., 48:2 (1988), 437–442 | MR

[2] Poincaré H., “Les fonctions analytiques de deux variables et la représentation conforme”, Rend. Circ. Mat. Palermo, 1907, 185–220 | DOI

[3] Beloshapka V. K., “O golomorfnykh preobrazovaniyakh kvadriki”, Matem. sb., 182:2 (1991), 203–219 | Zbl

[4] Shevchenko S. N., “Opisanie algebry infinitezimalnykh avtomorfizmov kvadrik korazmernosti dva i ikh klassifikatsiya”, Matem. zametki, 55:5 (1994), 142–153 | MR | Zbl

[5] Palinchak N. F., “Veschestvennye kvadriki korazmernosti 3 v $\mathbb C^6$ i ikh nelineinye avtomorfizmy”, Izv. AN SSSR. Ser. matem., 59:3 (1995), 159–178 | MR | Zbl

[6] Anisova E. G., “Nul-kvadriki korazmernosti 4 v prostranstve $\mathbb C^7$”, Matem. zametki, 62:5 (1997), 657–665 | MR | Zbl

[7] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989

[8] Palinchak N. F., “O kvadrikakh vysokoi korazmernosti”, Matem. zametki, 55:5 (1994), 110–115 | MR | Zbl