On the uncommonness of minimal rank-2 systems of linear equations
Combinatorics
2024-04-30 v1 Number Theory
Probability
Abstract
We prove that suitably generic pairs of linear equations on an even number of variables are uncommon. This verifies a conjecture of Kam\v{c}ev, Morrison and the second author. Moreover, we prove that any large system containing such a -system as a minimal subsystem is uncommon.
Cite
@article{arxiv.2404.18908,
title = {On the uncommonness of minimal rank-2 systems of linear equations},
author = {Daniel Altman and Anita Liebenau},
journal= {arXiv preprint arXiv:2404.18908},
year = {2024}
}
Comments
11 pages