Year: 2026
Type: article
Abstract: We consider a system of n trinomial algebraic equations in n unknowns, where the exponents of the monomials in each equation are fixed while all the coefficients vary. The discriminant locus of such a system is defined to be the closure of the set of all coefficients for which the system has multiple roots with non-zero coordinates. We study the limit-sets of the discriminant hypersurface which are given by truncation polynomials of the discriminant on faces of its Newton polytope. The limit-sets are characterized in terms of the discriminants of systems of lower dimension
Authors: Antipova, Irina A., Chuvashov, Semyon Yu., Антипова, Ирина А., Чувашов, Семен Ю.
Institution: Siberian Federal University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128123967
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