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arXiv · 1811.01556

An effective criterion for the additive decompositions of forms

Edoardo Ballico
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Abstract

We give an effective criterion for the identifiability of additive decompositions of homogeneous forms of degree $d$ in a fixed number of variables. Asymptotically for large $d$ it has the same order of the Kruskal's criterion adapted to symmetric tensors given by L. Chiantini, G. Ottaviani and N. Vannieuwenhoven. We give a new case of indentifiability for $d=4$.

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Edoardo Ballico. 2018-11-05. An effective criterion for the additive decompositions of forms. https://arxiv.org/abs/1811.01556

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