How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties

DOI10.1016/S0723-0869(03)80002-6zbMath1045.14021arXivmath/0211281MaRDI QIDQ1428814

Gabriel Katz

Publication date: 18 May 2004

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211281

zbMATH Keywords

stratificationpolynomial equationsYoung diagramstangent conesdiscriminant variety

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Determinantal varieties (14M12) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (12)

Varieties in cages: a little zoo of algebraic geometry ⋮ Amoebas of Cuspidal Strata for Classical Discriminant ⋮ Deconstructing functions on quadratic surfaces into multipoles ⋮ Duality of multiple root loci ⋮ Binary forms of suprageneric rank and the multiple root loci ⋮ Some remarks on equations defining coincident root loci ⋮ Causal holography of traversing flows ⋮ Algebraic boundaries among typical ranks for real binary forms of arbitrary degree ⋮ Rational expressions for multiple roots of algebraic equations ⋮ Classification of rational 1-forms on the Riemann sphere up to \(\text{PSL}(2,\mathbb{C})\) ⋮ On the algebraic boundaries among typical ranks for real binary forms ⋮ Geometry and dynamics of the Schur-Cohn stability algorithm for one variable polynomials

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