The boundary of the orbit of the 3-by-3 determinant polynomial

DOI10.1016/j.crma.2016.07.002zbMath1352.14031arXiv1512.02437OpenAlexW2193111857MaRDI QIDQ309769

Pierre Lairez, Jesko Hüttenhain

Publication date: 7 September 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02437

zbMATH Keywords

computational complexitygroup actionsdeterminantalgebraic geometrystabilizergeometric complexity theory

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Complexity of computation (including implicit computational complexity) (03D15) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Algebraic geometry methods for problems in mechanics (70G55)

Related Items (4)

Uniform Determinantal Representations ⋮ Unnamed Item ⋮ No occurrence obstructions in geometric complexity theory ⋮ On the Symmetries of and Equivalence Test for Design Polynomials.

Cites Work

• Unnamed Item
• Vector spaces of matrices of low rank
• Hypersurfaces with degenerate duals and the geometric complexity theory program
• Geometric complexity theory: an introduction for geometers
• The Hilbert null-cone on tuples of matrices and bilinear forms
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Sur une généralisation du groupe orthogonal à quatre variables
• Geometric Complexity Theory I: An Approach to thePvs.NPand Related Problems
• On matrix spaces with zero determinant
• Invariant Theory
• The Geometry of Schemes

This page was built for publication: The boundary of the orbit of the 3-by-3 determinant polynomial