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arXiv · 2309.01414

Structures of the Length Seven Power Sum Decompositions of Ternary Quartics

Alessandro De Paris
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Abstract

Motivated by the search for a deeper understanding of tensor rank, in view of its computational complexity applications, we investigate a possible path to determine the maximum symmetric rank in given degree and dimension. We work in terms of Waring rank of forms, and aiming to set up a firm basis for an induction procedure we examine some technical tools to organize length seven Waring decompositions of ternary quartics, that may turn to be fundamental.

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Alessandro De Paris. 2023-09-04. Structures of the Length Seven Power Sum Decompositions of Ternary Quartics. https://arxiv.org/abs/2309.01414

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