Corpus ID: 237571404

Degrees of Kalman varieties of tensors

@inproceedings{Shahidi2021DegreesOK,
  title={Degrees of Kalman varieties of tensors},
  author={Zahra Shahidi and Luca Sodomaco and Emanuele Ventura},
  year={2021}
}
Kalman varieties of tensors are algebraic varieties consisting of tensors whose singular vector k-tuples lay on prescribed subvarieties. They were first studied by Ottaviani and Sturmfels in the context of matrices. We extend recent results of Ottaviani and the first author to the partially symmetric setting. We describe a generating function whose coefficients are the degrees of these varieties and we analyze its asymptotics, providing analytic results à la Zeilberger and Pantone. We emphasize… Expand

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Given a subspace L of a vector space V, the Kalman variety consists of all matrices of V that have a nonzero eigenvector in L. Ottaviani and Sturmfels described minimal equations in the case that dimExpand
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