Toric double determinantal varieties
Commutative Algebra
2020-06-09 v1
Abstract
We examine Li's double determinantal varieties in the special case that they are toric. We recover from the general double determinantal varieties case, via a more elementary argument, that they are irreducible and show that toric double determinantal varieties are smooth. We use this framework to give a straighforward formula for their dimension. Finally, we use the smallest nontrivial toric double determinantal variety to provide some empirical evidence concerning an open problem in local algebra.
Cite
@article{arxiv.2006.04191,
title = {Toric double determinantal varieties},
author = {Alexander Blose and Patricia Klein and Owen McGrath and Jackson Morris},
journal= {arXiv preprint arXiv:2006.04191},
year = {2020}
}
Comments
Undergraduate research