Dimension computations for tropical determinantal varieties and prevarieties
Algebraic Geometry
2022-01-07 v1 Combinatorics
Abstract
This paper proves that when the minors of an matrix of indeterminates are not a tropical basis then the tropical prevariety has greater dimension than the tropical variety. It proves the same for the minors of an symmetric matrix of indeterminates when r > 4.
Cite
@article{arxiv.2201.01982,
title = {Dimension computations for tropical determinantal varieties and prevarieties},
author = {Dylan Zwick},
journal= {arXiv preprint arXiv:2201.01982},
year = {2022}
}
Comments
25 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2112.14945, arXiv:2201.01028