论文标题
几何等级的几何形状
On the geometry of geometric rank
论文作者
论文摘要
我们对Kopparty等人最近引入的张量的几何等级进行了几何研究。结果包括对$ c^3 \ otimes c^3 \ otimes c^3 $的张量的分类，分类为几何等级，并表明几何级别上的上限意味着在张量级上的下限。
We make a geometric study of the Geometric Rank of tensors recently introduced by Kopparty et al. Results include classification of tensors with degenerate geometric rank in $C^3\otimes C^3\otimes C^3$, classification of tensors with geometric rank two, and showing that upper bounds on geometric rank imply lower bounds on tensor rank.
