English

Linearly dependent and concise subsets of a Segre variety depending on k factors

Algebraic Geometry 2020-02-25 v1

Abstract

We study linearly dependent subsets with prescribed cardinality, ss, of a multiprojective space. If the set SS is a circuit, we give an upper bound on the number of factors of the minimal multiprojective space containing SS, while if SS has higher dependency this may be not true without strong assumptions. We describe the dependent subsets SS with #S=6\#S=6.

Keywords

Cite

@article{arxiv.2002.09720,
  title  = {Linearly dependent and concise subsets of a Segre variety depending on k factors},
  author = {Edoardo Ballico},
  journal= {arXiv preprint arXiv:2002.09720},
  year   = {2020}
}