Nontrivial linear projections on the Grassmannian
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A typical linear projection of the Grassmannian in its Plucker embedding is injective, unless its image is a projective space. A notable exception are self-adjoint linear projections, which have even degree. We consider linear projections of Gr_3(C^6) with low-dimensional centers of projection. When the center has dimension less than five, we show that the projection has degree 1. When the center has dimension five and the projection has degree greater than 1, we show that it is self-adjoint.
Linear Algebra and its Applications
author list (cited authors)
Huang, Y., Petroulakis, G., Sottile, F., & Zelenko, I.
complete list of authors
Huang, Yanhe||Petroulakis, George||Sottile, Frank||Zelenko, Igor