Geodesic
On holomorphic transformations of a~quadric
Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 189-205

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Holomorphic transformations of a quadric of arbitrary codimension are studied. General formulas are derived for infinitesimal automorphisms of such a surface. The phenomenon of “rigidity” of quadrics in general position is demonstrated. Examples of quadrics with rich automorphism groups are considered. A classification is given for positive-definite quadrics of codimension two. 
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     author = {V. K. Beloshapka},
     title = {On holomorphic transformations of a~quadric},
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V. K. Beloshapka. On holomorphic transformations of a~quadric. Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 189-205. http://geodesic.mathdoc.fr/item/SM_1992_72_1_a10/