Pencils of Quadrics: Old and New

Published 9 Sep 2020 in math.AG and math.CO | (2009.04334v2)

Abstract: 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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