Border Waring Rank via Asymptotic Rank
Algebraic Geometry
2019-10-07 v2
Abstract
We investigate an extension of a lower bound on the Waring (cactus) rank of homogeneous forms due to Ranestad and Schreyer. We show that for particular classes of homogeneous forms, for which a generalization of this method applies, the lower bound extends to the level of border (cactus) rank. The approach is based on recent results on tensor asymptotic rank.
Cite
@article{arxiv.1907.03487,
title = {Border Waring Rank via Asymptotic Rank},
author = {Matthias Christandl and Fulvio Gesmundo and Alessandro Oneto},
journal= {arXiv preprint arXiv:1907.03487},
year = {2019}
}
Comments
12 pages; Comments are welcome