A remark on Waring decompositions of some special plane quartics
Algebraic Geometry
2013-08-09 v3
Abstract
This work concerns Waring decompositions of a certain kind of plane quartics of high rank. The main result is the following. Let x, l_1, ...., l_7 be linear forms and q a quadratic form on a vector space of dimension 3. If x^2q=l_1^4+...+l_7^4 and the lines l_1=0, ..., l_7=0 in P^2 intersect x=0 in seven distinct points, then the line x=0 is (possibly improperly) tangent to the conic q=0.
Cite
@article{arxiv.1204.3042,
title = {A remark on Waring decompositions of some special plane quartics},
author = {Alessandro De Paris},
journal= {arXiv preprint arXiv:1204.3042},
year = {2013}
}