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http://dx.doi.org/10.4134/BKMS.b200248

LINEARLY DEPENDENT AND CONCISE SUBSETS OF A SEGRE VARIETY DEPENDING ON k FACTORS

Ballico, Edoardo (University of Trento)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 253-267 More about this Journal

Abstract

We study linearly dependent subsets with prescribed cardinality s of a multiprojective space. If the set S is a circuit, there is an upper bound on the number of factors of the minimal multiprojective space containing S. B. Lovitz gave a sharp upper bound for this number. If S has higher dependency, this may be not true without strong assumptions (and we give examples and suitable assumptions). We describe the dependent subsets S with #S = 6.

Keywords

Segre varieties; tensor rank; tensor decomposition;

Citations & Related Records

Reference

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