Rational expressions for multiple roots of algebraic equations

DOI10.1070/SM8950zbMath1404.13033OpenAlexW2791593378MaRDI QIDQ4645148

August Tsikh, Irina A. Antipova, Evgeny Mikhalkin

Publication date: 10 January 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8950

zbMATH Keywords

system of algebraic equationsmultiple rootdiscriminant varietylogarithmic Gauss mapgeneral algebraic equation

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Solving polynomial systems; resultants (13P15)

Related Items (5)

ON THE SOLUTION OF ALGEBRAIC EQUATIONS OF SMALL DEGREES BY SQUARE RADICALS ⋮ Geometry of factorization identities for discriminants ⋮ Blow-ups for the Horn-Kapranov parametrization of the classical discriminant ⋮ Convergence of two-dimensional hypergeometric series for algebraic functions ⋮ Singular Points of Complex Algebraic Hypersurfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on equations defining coincident root loci
• The equations of strata for binary forms
• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Duality of multiple root loci
• The monodromy of a general algebraic function
• How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties
• Real algebraic curves, the moment map and amoebas
• The discriminant of a system of equations
• Sur les fonctions analytiques de plusieurs variables. VIII. Lemme fondamental
• The discriminant locus of a system of $ n$ Laurent polynomials in $ n$ variables
• Singular strata of cuspidal type for the classical discriminant
• On solutions and Waring’s formulas for systems of $n$ algebraic equations for $n$ unknowns

This page was built for publication: Rational expressions for multiple roots of algebraic equations