We introduce the class of transparent embeddings for a point-line geometry Î=(P,L) as the class of full projective embeddings Îµ of Î such that the preimage of any projective line fully contained in Îµ(P) is a line of Î. We will then investigate the transparency of PlÃ¼cker embeddings of projective and polar grassmannians and spin embeddings of half-spin geometries and dual polar spaces of orthogonal type. As an application of our results on transparency, we will derive several Chow-like theorems for polar grassmannians and half-spin geometries.
|Titolo:||On transparent embeddings of point-line geometries|
|Appare nelle tipologie:||1.1 Articolo in rivista|