Example of a 6-by-6 Matrix with Different Tropical and Kapranov Ranks
Combinatorics
2010-12-30 v1
Abstract
We provide an example of a 6-by-6 matrix with tropical rank equal to 4 and Kapranov rank equal to 5. This answers a question asked by M. Chan, A. Jensen, and E. Rubei.
Keywords
Cite
@article{arxiv.1012.5507,
title = {Example of a 6-by-6 Matrix with Different Tropical and Kapranov Ranks},
author = {Yaroslav Shitov},
journal= {arXiv preprint arXiv:1012.5507},
year = {2010}
}