Equations and syzygies of some Kalman varieties

@article{Sam2012EquationsAS,
  title={Equations and syzygies of some Kalman varieties},
  author={Steven V. Sam},
  journal={arXiv: Commutative Algebra},
  year={2012},
  volume={140},
  pages={4153-4166}
}
  • Steven V. Sam
  • Published 29 May 2011
  • Mathematics
  • arXiv: Commutative Algebra
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 dim L = 2 and conjectured minimal equations for dim L = 3. We prove their conjecture and describe the minimal free resolution in the case that dim L = 2, as well as some related results. The main tool is an exact sequence which involves the coordinate rings of these Kalman varieties and the… 
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TLDR
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