2 problems

Let $V$ be the tensor space of a fixed format, let $T\in V$ be a generic tensor, and let $Z_T$ be the set of singular tuples of $T$. Write $\langle Z_T\rangle$ for their linear spa…

Let $T$ be a generic tensor of format $(n_1,\ldots,n_k)$, and let $\langle Z_T\rangle$ denote the linear span of its singular $k$-tuples. For fixed $n_1,\ldots,n_{k-1}$, consider t…