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Embedding of real varieties and their subvarieties into Grassmannians.

M. A. Buchner — 1995

Revista Matemática de la Universidad Complutense de Madrid

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.

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