论文标题

四边形的铅笔:新旧

Pencils of Quadrics: Old and New

论文作者

Fevola, Claudia, Mandelshtam, Yelena, Sturmfels, Bernd

论文摘要

对称矩阵的二维线性空间由Segre符号分类。在回顾了线性代数和投影几何形状的已知事实之后,我们解决了由代数统计和优化促进的新问题。我们计算互惠曲线和最大似然度,我们研究了格拉斯曼尼亚人的铅笔层。

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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