(1) Mathematisches Institut, Technische Universität, Postfach 20 24 20, D-8000 München 2
Abstract:
In projective spaces Pn(K), Pn(K) over commutative fields K, K of characteristic 2 we consider the quadrics Qn–1Pn(K), Q,n–1Pn(K) which have the same rank and index and each of which is different from its singularity space. A one-to-one correspondence of Qn–1 onto Q'n–1 can be extended uniquely to a collineation of Pn(K) onto Pn(K) if and only if satisfies the following condition: maps the (n–2)-dimensional quadrics of Q,n–1 of maximal rankonto (n–2)-dimensional quadrics of Qn–1 of maximal rank (Theorem 1).Herrn Prof. Dr. Helmut Karzel zum 60. Geburtstag gewidmet