一个分段的线性相关和简洁的子集取决于k个因素

arXiv: Algebraic Geometry Pub Date : 2020-02-01 DOI:10.4134/BKMS.B200248

E. Ballico

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引用次数: 4

摘要

我们研究多射影空间中具有给定基数的线性相关子集$s$。如果集合$S$是一个回路，我们给出了包含$S$的最小多射影空间的因子个数的上界，而如果$S$具有较高的依赖性，在没有强假设的情况下，这可能是不成立的。我们用$\#S=6$来描述相关子集$S$。

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

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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来源期刊

arXiv: Algebraic Geometry

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