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.
Linearly dependent and concise subsets of a Segre variety depending on k factors / Ballico, E.. - In: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. - ISSN 1015-8634. - STAMPA. - 2021, 58:1(2021), pp. 253-267. [10.4134/BKMS.b200248]
Linearly dependent and concise subsets of a Segre variety depending on k factors
Ballico, E.
2021-01-01
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.| File | Dimensione | Formato | |
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