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arXiv · 2002.09720

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

Edoardo Ballico
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Abstract

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

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Edoardo Ballico. 2020-02-22. Linearly dependent and concise subsets of a Segre variety depending on k factors. https://arxiv.org/abs/2002.09720

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