Gram spectrahedra of ternary quartics

DOI10.1016/j.jsc.2022.10.004OpenAlexW4306804769MaRDI QIDQ2100058

Julian Vill

Publication date: 21 November 2022

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

Full work available at URL: https://arxiv.org/abs/2112.10533

zbMATH Keywords

sums of squaresconvexityfacesbitangentsGram spectrahedronternary quartics

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Forms and linear algebraic groups (11Exx) Curves in algebraic geometry (14Hxx)

Related Items (2)

New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ Sums of squares on hypersurfaces

Cites Work

• Self-adjoint determinantal representations of real plane curves
• A new approach to Hilbert's theorem on ternary quartics
• Any smooth plane quartic can be reconstructed from its bitangents
• Some geometric results in semidefinite programming
• Extreme points of Gram spectrahedra of binary forms
• Quartic curves and their bitangents
• Classical Algebraic Geometry
• Gram spectrahedra
• Cayley-Bacharach theorems and conjectures
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