Abstract
Typically, a linear projection of the Grassmannian in its Plücker embedding is generically injective, unless the image of the Grassmannian is a linear space. A notable exception are self-adjoint linear projections, which have even degree. We consider linear projections of Gr3C6 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.
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