论文标题
张量征收的方程
Equations of tensor eigenschemes
论文作者
论文摘要
我们从代数和几何观点研究张量特征向量的方案。我们在一般情况下和对称情况下,通过线性方程在其系数中通过线性方程来表征此类特征化学的确定定义方程。我们为0维方案提供了必要的条件,使其成为特征cheme。
We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in their coefficients, both in the general and in the symmetric case. We give a geometric necessary condition for a 0-dimensional scheme to be an eigenscheme.