On the discriminant scheme of homogeneous polynomials

DOI10.1007/s11786-014-0188-7zbMath1302.13028OpenAlexW2015071795MaRDI QIDQ475407

Laurent Busé, Jean-Pierre Jouanolou

Publication date: 27 November 2014

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00747930/file/disc-mcs.pdf

zbMATH Keywords

elimination theorydiscriminant of homogeneous polynomialsinertia formsresultant of homogeneous polynomials

Mathematics Subject Classification ID

Determinantal varieties (14M12) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Computational aspects in algebraic geometry (14Q99) Solving polynomial systems; resultants (13P15)

Related Items (8)

On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant ⋮ Multigraded Sylvester forms, duality and elimination matrices ⋮ Formulas for the eigendiscriminants of ternary and quaternary forms ⋮ Iterated and mixed discriminants ⋮ A package for computations with classical resultants ⋮ Resultant of an equivariant polynomial system with respect to the symmetric group ⋮ On the discriminant locus of a rank \(n-1\) vector bundle on \(\mathbb{P}^{n-1}\) ⋮ A promenade through correct test sequences. I: Degree of constructible sets, Bézout's inequality and density

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• Funktionaldeterminanten und Diskriminanten bei Polynomen in mehreren Unbestimmten
• Funktionaldeterminanten und Diskriminanten bei Polynomen in mehreren Unbestimmten. II

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