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 [ 28] 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.

中文翻译：

---

切向弱缺陷和通用可识别性

我们研究一般张量分解的唯一性 $T\in{\mathbb C}^{n_1+1}\otimes \cdots \otimes{\mathbb C}^{n_r+1}$ 作为秩为 $1 的张量之和美元。这是通过将 [28] 中发展的理论扩展到非 twd 变体的框架来完成的。通过这种方式，我们能够证明无限多个部分对称张量的非泛型可识别性。