Description
The set of real points of a generic non-real complex algebraic variety
is a real algebraic variety of special type. It is co-oriented in the
real part of the ambient variety, realize there an integer
cohomology class and has integer intersection and linking numbers with
oriented submanifolds (even if the real part of the ambient space is not
orientable). If the codimension of the original complex variety is one,
the intersection is a base for a real pencil of hypersurfaces.
