English

Symmetric tensors: rank and Strassen's conjecture

Commutative Algebra 2015-06-15 v2

Abstract

In this paper we introduce the notion of linear computability as a method of finding the Waring rank of forms. We use this notion to find infinitely many new examples which satisfy Strassen's Conjecture.

Keywords

Cite

@article{arxiv.1412.2975,
  title  = {Symmetric tensors: rank and Strassen's conjecture},
  author = {Enrico Carlini and Maria Virginia Catalisano and Luca Chiantini and Anthony V. Geramita and Youngho Woo},
  journal= {arXiv preprint arXiv:1412.2975},
  year   = {2015}
}

Comments

The results of this paper have been extended and generalised in arxiv:1506.03176