On nonnegative invariant quartics in type A
Algebraic Geometry
2024-02-07 v1
Abstract
The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type A. As a first step to a classification, we analyse -invariant quartics. We prove that the cones of invariant sums of squares and nonnegative forms are equal if and only if the number of variables is at most 3 or odd.
Cite
@article{arxiv.2402.03722,
title = {On nonnegative invariant quartics in type A},
author = {Sebastian Debus and Charu Goel and Salma Kuhlmann and Cordian Riener},
journal= {arXiv preprint arXiv:2402.03722},
year = {2024}
}