We prove that from among simple multiveblen configurations only combinatorial Grassmannians can be embedded into a Desarguesian projective space. The class of regular multiveblen configurations which are projectively embeddable is determined.
Małgorzata Prażmowska. "On the existence of projective embeddings of multiveblen configurations." Bull. Belg. Math. Soc. Simon Stevin 17 (2) 259 - 273, april 2010. https://doi.org/10.36045/bbms/1274896205