Nodes on quintic spectrahedra

DOI10.4418/2021.76.2.8zbMath1481.14061arXiv2011.13860OpenAlexW4302008474MaRDI QIDQ5030923

Mario Kummer, Taylor Brysiewicz, Khazhgali Kozhasov

Publication date: 18 February 2022

Full work available at URL: https://arxiv.org/abs/2011.13860

zbMATH Keywords

spectrahedronsymmetroidreal determinantal surface

Mathematics Subject Classification ID

Semidefinite programming (90C22) Determinantal varieties (14M12) Computational aspects of algebraic surfaces (14Q10) Singularities of surfaces or higher-dimensional varieties (14J17) Semialgebraic sets and related spaces (14P10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Topology of real algebraic varieties (14P25)

Uses Software

• HomotopyContinuation

Cites Work

• On symmetric and skew-symmetric determinantal varieties
• HomotopyContinuation.jl: a package for homotopy continuation in Julia
• Rational quartic symmetroids
• Quartic spectrahedra
• On real determinantal quartics
• Linear matrix inequality representation of sets
• On the crossing rule
• Unnamed Item

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