Real quadries of codimension 3 in C6 and their non-linear automorphisms

摘要

In this paper, non-degenerate (3, 3)-quadrics are considered. A list of quadrics with non-linear automorphisms is obtained up to equivalence. All null-quadrics of codimension 3 in C6 are determined. We give an example of a quadric with a non-linear automorphism not representable as a Poincare" automorphism.