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arXiv · 2604.22733

Matrix tuples with linearly dependent invariant subspaces

Tamás Bencze
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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.

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Tamás Bencze. 2026-04-24. Matrix tuples with linearly dependent invariant subspaces. https://arxiv.org/abs/2604.22733

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