On the dimension of affine subspaces of nilpotent matrices
Rings and Algebras
2025-08-27 v2
Abstract
The focus of the paper is on the maximal dimension of affine subspaces of nilpotent matrices with fixed rank. In particular we obtain two results in the "border" cases rank equal to and rank equal to .
Cite
@article{arxiv.2508.06653,
title = {On the dimension of affine subspaces of nilpotent matrices},
author = {Simone Calamai and Elena Rubei},
journal= {arXiv preprint arXiv:2508.06653},
year = {2025}
}
Comments
15 pages; with respect to the first version we weakened the assumption on the field in Theorem 1.4