Sufficient conditions for Strassen's additivity conjecture
Algebraic Geometry
2019-04-05 v2
Abstract
We give a sufficient condition for the strong symmetric version of Strassen's additivity conjecture: the Waring rank of a sum of forms in independent variables is the sum of their ranks, and every Waring decomposition of the sum is a sum of decompositions of the summands. We give additional sufficient criteria for the additivity of Waring ranks and a sufficient criterion for additivity of cactus ranks and decompositions.
Cite
@article{arxiv.1604.07691,
title = {Sufficient conditions for Strassen's additivity conjecture},
author = {Zach Teitler},
journal= {arXiv preprint arXiv:1604.07691},
year = {2019}
}
Comments
16 pages. v3: corrected proof of Lemma 1.11