Completely Reducible Ternary Cubic Forms
Commutative Algebra
2021-07-07 v1
Abstract
We discuss various necessary and sufficient conditions for the complete reducibility of a ternary cubic form. In doing so, we prove the claim made in the 19th century that such a form is completely reducible if and only if its Hessian is a multiple of itself.
Cite
@article{arxiv.2107.02325,
title = {Completely Reducible Ternary Cubic Forms},
author = {Gary Brookfield},
journal= {arXiv preprint arXiv:2107.02325},
year = {2021}
}
Comments
32 pages