On quadrics of higher codimension (Q1898533)

\textit{V. V. Ezov} and \textit{G. Schmalz}: [in the work ``A matrix Poincaré formula for holomorphic automorphisms of real associative quadrics'' (preprint)] selected quadrics, called RAQ quadrics, from all \((n,n)\)-quadrics. One has obtained a formula for the automorphisms of RAQ quadrics, preserving the origin. In connection with this there arose the following question: Is it true that among the irreducible quadrics only the RAQ quadrics have nonlinear automorphisms? The answer is negative, in \(\mathbb{C}^6\) there exists an irreducible quadric with nonlinear automorphisms, which is not a RAQ quadric.