The Euclidean distance degree of Fermat hypersurfaces

DOI10.1016/j.jsc.2016.07.006zbMath1354.14080arXiv1409.0684OpenAlexW2963095650MaRDI QIDQ346561

Hwangrae Lee

Publication date: 29 November 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0684

zbMATH Keywords

optimizationFermat hypersurfaceEuclidean distance degree

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Special surfaces (14J25) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (2)

The Euclidean distance degree of orthogonally invariant matrix varieties ⋮ The Euclidean distance degree of smooth complex projective varieties

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick)
• The maximum likelihood degree of Fermat hypersurfaces
• Likelihood Geometry
• Exact Solutions in Structured Low-Rank Approximation
• On linear relations between roots of unity
• Exponential diophantine equations
• The Euclidean distance degree of an algebraic variety

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