论文标题
格拉斯曼尼亚GR_3的非平凡线性预测（C^6）
Nontrivial linear projections of the Grassmannian Gr_3(C^6)
论文作者
论文摘要
除非其图像是一个投射空间，否则格拉斯曼尼亚人在其弹药嵌入中的典型线性投影是具有赋值权的。一个值得注意的例外是自我伴侣线性预测，甚至具有程度。我们考虑具有低维投影中心的GR_3（C^6）的线性投影。当中心的尺寸小于五个时，我们表明投影具有1度。当中心具有尺寸五，并且投影的学位大于1时，我们表明它是自我接合的。
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.
