We answer a question raised in a recent paper by I. Cardinali
and A. Pasini. Over an algebraically closed field of characteristic
, we show that a
certain projection of
to
induces an isomorphism of algebraic varieties from the quadratic Veronese embedding
of
to
the standard embedding of the orthogonal Grassmanian of lines of a quadric in
.
Keywords
Grassmann embedding, Veronese embedding, morphisms, Klein
quadric, Plücker coordinates
