Embedding of real varieties and their subvarieties into Grassmannians.

Buchner, M. A.. "Embedding of real varieties and their subvarieties into Grassmannians.." Revista Matemática de la Universidad Complutense de Madrid 8.2 (1995): 265-268. <http://eudml.org/doc/44200>.

@article{Buchner1995,
abstract = {Given a compact affine nonsingular real algebraic variety X and a nonsingular subvariety Z C X belonging to a large class of subvarieties, we show how to embed X in a suitable Grassmannian so that Z becomes the transverse intersection of the zeros of a section of the tautological bundle on the Grassmannian.},
author = {Buchner, M. A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Variedad algebraica; Geometría algebraica; Representación de grupos; Ceros de una función; Intersección; Inclusiones; real algebraic variety; real Grassmannian; strongly algebraic vector bundle},
language = {eng},
number = {2},
pages = {265-268},
title = {Embedding of real varieties and their subvarieties into Grassmannians.},
url = {http://eudml.org/doc/44200},
volume = {8},
year = {1995},
}

TY - JOUR
AU - Buchner, M. A.
TI - Embedding of real varieties and their subvarieties into Grassmannians.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1995
VL - 8
IS - 2
SP - 265
EP - 268
AB - Given a compact affine nonsingular real algebraic variety X and a nonsingular subvariety Z C X belonging to a large class of subvarieties, we show how to embed X in a suitable Grassmannian so that Z becomes the transverse intersection of the zeros of a section of the tautological bundle on the Grassmannian.
LA - eng
KW - Variedad algebraica; Geometría algebraica; Representación de grupos; Ceros de una función; Intersección; Inclusiones; real algebraic variety; real Grassmannian; strongly algebraic vector bundle
UR - http://eudml.org/doc/44200
ER -