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arXiv · 2606.20432

Eigenvector Varieties

Sandra Di Rocco·Bernd Sturmfels·Svala Sverrisdóttir
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Abstract

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.

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Sandra Di Rocco, Bernd Sturmfels, Svala Sverrisdóttir. 2026-06-18. Eigenvector Varieties. https://arxiv.org/abs/2606.20432

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