Resultant of an equivariant polynomial system with respect to the symmetric group

DOI10.1016/j.jsc.2015.12.004zbMath1346.13062arXiv1407.2799OpenAlexW1796954330MaRDI QIDQ5963398

Laurent Busé, Anna Karasoulou

Publication date: 19 February 2016

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

Full work available at URL: https://arxiv.org/abs/1407.2799

zbMATH Keywords

divided differencesequivariant polynomial systemhomogeneous symmetric polynomialsmultivariate discriminantmultivariate resultant

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomials and matrices (11C99) Solving polynomial systems; resultants (13P15)

Related Items (3)

Faster real root decision algorithm for symmetric polynomials ⋮ Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations ⋮ Computing critical points for invariant algebraic systems

Cites Work

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• On the discriminant scheme of homogeneous polynomials
• Le formalisme du résultant. (The formalism of resultant)
• Zeros of equivariant vector fields: Algorithms for an invariant approach
• Resultant, discriminant
• The discriminant and the determinant of a hypersurface of even dimension
• Discriminants, resultants, and multidimensional determinants
• Using Algebraic Geometry
• Solving polynomial systems globally invariant under an action of the symmetric group and application to the equilibria of N vortices in the plane

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