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arxiv: 1707.04005 · v3 · pith:H6LEMRXKnew · submitted 2017-07-13 · 🧮 math.AG

On fully real eigenconfigurations of tensors

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keywords realtensorsconstructcriticaleigenconfigurationseigenvectorsequivalentlyfinite
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We construct generic real symmetric tensors with only real eigenvectors or, equivalently, real homogeneous polynomials with the maximum possible finite number of critical points on the sphere.

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