Lower bound for ranks of invariant forms
Algebraic Geometry
2014-09-02 v1
Abstract
We give a lower bound for the Waring rank and cactus rank of forms that are invariant under an action of a connected algebraic group. We use this to improve the Ranestad--Schreyer--Shafiei lower bounds for the Waring ranks and cactus ranks of determinants of generic matrices, Pfaffians of generic skew-symmetric matrices, and determinants of generic symmetric matrices.
Keywords
Cite
@article{arxiv.1409.0061,
title = {Lower bound for ranks of invariant forms},
author = {Harm Derksen and Zach Teitler},
journal= {arXiv preprint arXiv:1409.0061},
year = {2014}
}
Comments
13 pages