The data singular and the data isotropic loci for affine cones

E. Horobet

Research output: Book/ReportReportAcademic

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Abstract

The generic number of critical points of the Euclidean distance function from a data point to a variety is called the Euclidean distance degree. The two special loci of the data points where the number of critical points is smaller then the ED degree are called the Euclidean Distance Data Singular Locus and the Euclidean Distance Data Isotropic Locus. In this article we present connections between these two special loci of an affine cone and its dual cone.
Original languageEnglish
Publishers.n.
Number of pages11
Publication statusPublished - 2015

Publication series

NamearXiv
Volume1507.0293 [math.AG]

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Euclidean Distance
Locus
Cone
Critical point
Dual Cone
Distance Function

Cite this

Horobet, E. (2015). The data singular and the data isotropic loci for affine cones. (arXiv; Vol. 1507.0293 [math.AG]). s.n.
Horobet, E. / The data singular and the data isotropic loci for affine cones. s.n., 2015. 11 p. (arXiv).
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Horobet, E 2015, The data singular and the data isotropic loci for affine cones. arXiv, vol. 1507.0293 [math.AG], s.n.

The data singular and the data isotropic loci for affine cones. / Horobet, E.

s.n., 2015. 11 p. (arXiv; Vol. 1507.0293 [math.AG]).

Research output: Book/ReportReportAcademic

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