Equations of Kalman varieties

@article{Huang2017EquationsOK,
  title={Equations of Kalman varieties},
  author={Hang Huang},
  journal={arXiv: Commutative Algebra},
  year={2017}
}
  • Hang Huang
  • Published 27 July 2017
  • Mathematics
  • arXiv: Commutative Algebra
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. 
2 Citations
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Tensors with eigenvectors in a given subspace
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This work considers the Kalman variety of tensors having singular t -tuples with the first component in a given linear subspace and proves analogous results, which are new even in the case of matrices, using Chern classes for enumerative computations.

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