Structures of the Length Seven Power Sum Decompositions of Ternary Quartics
Commutative Algebra
2023-11-17 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2309.01414,
title = {Structures of the Length Seven Power Sum Decompositions of Ternary Quartics},
author = {Alessandro De Paris},
journal= {arXiv preprint arXiv:2309.01414},
year = {2023}
}
Comments
v2: a small piece of information added in the Introduction, in the Bibliography and on affiliation