A. Bernardi

activity

20122026

most citedThe Hitchhiker guide to: Secant Varieties and Tensor Decomposition

61 citations · 72 across the 10 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AG2017

On the dimension of contact loci and the identifiability of tensors

Edoardo Ballico, Alessandra Bernardi, Luca Chiantini

Let $X \subset P^{r}$ be an integral and non-degenerate variety. Set $n := dim (X)$ . We prove that if the $(k + n - 1)$ -secant variety of $X$ has (the expected) dimension $(k+n-1…

math.AG2017

Bounds on the tensor rank

Edoardo Ballico, Alessandra Bernardi, Luca Chiantini +1

We give a sufficient criterion for a lower bound of the cactus rank of a tensor. Then we refine that criterion in order to be able to give an explicit sufficient condition for a no…