English

Tensor decompositions in rank +1

Algebraic Geometry 2020-02-17 v1

Abstract

We prove (without exceptions) the existence of irredundant tensor decompositions with the number of addenda equal to rank +1+1. We also discuss the existence of decompositions with more than the tensor rank terms, which are concise, while the original tensor is not concise.

Keywords

Cite

@article{arxiv.2002.05891,
  title  = {Tensor decompositions in rank +1},
  author = {Edoardo Ballico},
  journal= {arXiv preprint arXiv:2002.05891},
  year   = {2020}
}
R2 v1 2026-06-23T13:41:39.361Z