Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails

Let X⊂ℙr be an integral and non-degenerate complex variety. For any q∈ℙr let rX(q) be its X-rank and S(X,q) the set of all finite subsets of X such that |S|=rX(q) and q   ∈  〈S〉, where 〈〉 denotes the linear span. We consider the case |S(X,q)|>1 (i.e. when q is not X -identifiable) and study the s...

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出版年:	Arab Journal of Mathematical Sciences
第一著者:	E. Ballico
フォーマット:	論文
言語:	英語
出版事項:	Emerald Publishing 2021-04-01
主題:	X-rank Veronese embedding Symmetric tensor rank Additive decomposition Real X-rank
オンライン･アクセス:	https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.09.001/full/pdf