论文标题
切向弱缺陷和通用可识别性
Tangential weak defectiveness and generic identifiability
论文作者
论文摘要
我们研究了{\ Mathbb c}^{n_1+1} \ otimes \ cdots \ otimes {\ Mathbb c}^{n_r+1} $作为tensors的总和$ 1 $ 1 $ 1 $ $ 1 $。这是完成了第二作者在上一篇论文中开发的理论，以扩展到非TWD品种的框架。通过这种方式，我们能够证明许多部分部分对称张量的无通用性可识别性。
We investigate the uniqueness of decomposition of general tensors $T\in {\mathbb C}^{n_1+1}\otimes\cdots\otimes{\mathbb C}^{n_r+1}$ as a sum of tensors of rank $1$. This is done extending the theory developed in a previous paper by the second author to the framework of non twd varieties. In this way we are able to prove the non generic identifiability of infinitely many partially symmetric tensors.
