The data singular and the data isotropic loci for affine cones

DOI10.1080/00927872.2016.1172632zbMath1365.14068arXiv1507.02923OpenAlexW2962883824MaRDI QIDQ2984868

Emil Horobeţ

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02923

zbMATH Keywords

data singular locusEuclidean distance degreedata isotropic locusED discriminant

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items (4)

Data loci in algebraic optimization ⋮ Euclidean distance degree and limit points in a Morsification ⋮ Defect of Euclidean distance degree ⋮ A Morse theoretic approach to non-isolated singularities and applications to optimization

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Focal loci of algebraic hypersurfaces: A general theory
• Focal loci of algebraic varieties i
• Exponential varieties
• On the Complexity of Computing Critical Points with Gröbner Bases
• Chapter 5: Dualities
• Counting Real Critical Points of the Distance to Orthogonally Invariant Matrix Sets
• On the Facial Structure of the Set of Correlation Matrices
• Critical points and Gröbner bases
• On the Degree of Caustics by Reflection
• Counting Critical Formations on a Line
• The Euclidean distance degree of an algebraic variety

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