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arXiv · 1807.00642

Hilbert functions and tensor analysis

Luca Chiantini
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Abstract

We show how well known tools of algebraic geometry for the study of finite sets can be fruitfully applied to the study of Waring decompositions of symmetric tensors (forms). We mainly focus on the uniqueness of a given decomposition (the identifiability problem), and show how, in some cases, one can effectively determine the uniqueness even in some range in which the Kruskal's criterion does not apply.

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Luca Chiantini. 2018-07-02. Hilbert functions and tensor analysis. https://arxiv.org/abs/1807.00642

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