English

Matrix tuples with linearly dependent invariant subspaces

Algebraic Geometry 2026-04-27 v1

Abstract

The set of matrix tuples with invariant subspaces whose dimensions sum up to the dimension of the space, but which do not span the whole space form an algebraic hypersurface. We found the equation of this hypersurface. This generalizes previous joint work.

Keywords

Cite

@article{arxiv.2604.22733,
  title  = {Matrix tuples with linearly dependent invariant subspaces},
  author = {Tamás Bencze},
  journal= {arXiv preprint arXiv:2604.22733},
  year   = {2026}
}

Comments

12 pages, 0 figures

R2 v1 2026-07-01T12:34:06.768Z