论文标题
两个圆锥的编织产物
The weave product of two conics
论文作者
论文摘要
张量图是描述射影几何形状中对象之间复杂关系的方便方法。一个简单的副本之一拿到了两个$ 3 \ times 3 $矩阵并计算其邻接的副本。在本文中，当使用两个不同的矩阵时，我们对这种结构进行了几何解释。为此，我们将它们解释为投影平面中圆锥截面的系数矩阵，并将图表构造与它们的共同切线相关联。
Tensor diagrams are a handy way to depict complicated relationships between objects in projective geometry. One of the simpler ones takes two copies of a $3\times 3$ matrix and computes its adjugate. In this paper, we give a geometric interpretation of this construction when two different matrices are used. To do so, we interpret them as coefficient matrices of conic sections in the projective plane and relate the diagram construction to their common tangents.
