The Waring loci of ternary quartics
Algebraic Geometry
2007-05-23 v1
Abstract
Let F denote a homogeneous degree 4 polynomial in 3 variables, and let s be an integer between 1 and 5. We would like to know if F can be written as a sum of fourth powers of s linear forms (or a degeneration). We determine necessary and sufficient conditions for this to be possible. These conditions are expressed as the vanishing of certain concomitants of F for the natural action of SL_3.
Keywords
Cite
@article{arxiv.math/0212169,
title = {The Waring loci of ternary quartics},
author = {Jaydeep Chipalkatti},
journal= {arXiv preprint arXiv:math/0212169},
year = {2007}
}