On the geometry of geometric rank
Computational Complexity
2022-08-24 v2 Algebraic Geometry
Abstract
We make a geometric study of the Geometric Rank of tensors recently introduced by Kopparty et al. Results include classification of tensors with degenerate geometric rank in , classification of tensors with geometric rank two, and showing that upper bounds on geometric rank imply lower bounds on tensor rank.
Cite
@article{arxiv.2012.04679,
title = {On the geometry of geometric rank},
author = {Runshi Geng and J. M. Landsberg},
journal= {arXiv preprint arXiv:2012.04679},
year = {2022}
}