On facets of the Newton polytope for the discriminant of the polynomial system

DOI10.33048/semi.2021.18.089zbMath1475.14094arXiv2107.04978OpenAlexW4226236251MaRDI QIDQ2058317

Ekaterina Andreevna Kleshkova, Irina A. Antipova

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04978

zbMATH Keywords

Newton polytopediscriminantmatroidtropical varietyBergman fan

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Complex surface and hypersurface singularities (32S25) Solving polynomial systems; resultants (13P15)

Related Items (2)

Algorithm for computing the truncation of the discriminant of a polynomial ⋮ On sums of Newton polytopes for discriminants of polynomials

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Matroid polytopes, nested sets and Bergman fans
• Geometry of factorization identities for discriminants
• The discriminant locus of a system of $ n$ Laurent polynomials in $ n$ variables
• Hispanic Heritage Month
• The Logarithmic Limit-Set of an Algebraic Variety

This page was built for publication: On facets of the Newton polytope for the discriminant of the polynomial system