Every Ternary Quintic is a Sum of Ten Fifth Powers
Algebraic Geometry
2015-05-29 v3 Commutative Algebra
Rings and Algebras
Abstract
To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree (with coefficients in an algebraically closed field of characteristic zero) is known only for . The best upper bound that is known for is twelve, and in this work we lower it to ten.
Cite
@article{arxiv.1409.7643,
title = {Every Ternary Quintic is a Sum of Ten Fifth Powers},
author = {Alessandro De Paris},
journal= {arXiv preprint arXiv:1409.7643},
year = {2015}
}
Comments
Relevant information added in the footnote (1) at p. 2