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arxiv: 1707.08699 · v1 · pith:QHJ5BYXOnew · submitted 2017-07-27 · 🧮 math.AC

Equations Of Kalman Varieties

classification 🧮 math.AC
keywords kalmanequationssubspacevarietycharacteristicconjectureconsistingdefining
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The Kalman variety of a linear subspace is a vector space consisting of all endomorphisms that have an eigenvector in that subspace. We resolve a conjecture of Ottaviani and Sturmfels and give the minimal defining equations of the Kalman variety over a field of characteristic 0.

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