Corpus ID: 221556961

Pencils of Quadrics: Old and New

  title={Pencils of Quadrics: Old and New},
  author={Claudia Fevola and Yelena Mandelshtam and B. Sturmfels},
  journal={arXiv: Algebraic Geometry},
Two-dimensional linear spaces of symmetric matrices are classified by Segre symbols. After reviewing known facts from linear algebra and projective geometry, we address new questions motivated by algebraic statistics and optimization. We compute the reciprocal curve and the maximum likelihood degrees, and we study strata of pencils in the Grassmannian. 
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