Full paper in PDF:
$%M. A. Buchner, Embedding of real varieties and their subvarieties into Grassmannians,
Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 2, 265–268.%$
Given a compact affine nonsingular real algebraic variety
and a nonsingular
subvariety
belonging to a large class of subvarieties, we show how
to embed
in a suitable Grassmannian so that
becomes the transverse
intersection of the zeros of a section of the tautological bundle on the
Grassmannian.
1991 Mathematics Subject Classification: 14P05.