Identifiability beyond Kruskal's bound for symmetric tensors of degree 4

  title={Identifiability beyond Kruskal's bound for symmetric tensors of degree 4},
  author={E. Angelini and L. Chiantini and Nick Vannieuwenhoven},
  journal={arXiv: Algebraic Geometry},
  • E. Angelini, L. Chiantini, Nick Vannieuwenhoven
  • Published 2017
  • Mathematics
  • arXiv: Algebraic Geometry
  • We show how methods of algebraic geometry can produce criteria for the identifiability of specific tensors that reach beyond the range of applicability of the celebrated Kruskal criterion. More specifically, we deal with the symmetric identifiability of symmetric tensors in Sym$^4(\mathbb{C}^{n+1})$, i.e., quartic hypersurfaces in a projective space $\mathbb{P}^n$, that have a decomposition in 2n+1 summands of rank 1. This is the first case where the reshaped Kruskal criterion no longer applies… CONTINUE READING
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