# Equations of Kalman varieties

@article{Huang2017EquationsOK, title={Equations of Kalman varieties}, author={Hang Huang}, journal={arXiv: Commutative Algebra}, year={2017} }

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

Tensors with eigenvectors in a given subspace

- Mathematics, Computer ScienceRendiconti del Circolo Matematico di Palermo Series 2
- 2020

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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The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants…

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