Zero-patterns of polynomials and Newton polytopes.

DOI10.1016/S0097-3165(03)00007-4zbMath1085.11014OpenAlexW2000119117MaRDI QIDQ1873810

Alan G. B. Lauder

Publication date: 27 May 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0097-3165(03)00007-4

zbMATH Keywords

Newton polytopehypersurfacemultivariate polynomialsign-patternzero-pattern

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomials in number theory (11C08)

Cites Work

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• Newton polyhedra and the degree of the L-function associated to an exponential sum
• Irreducibility of polynomials modulo \(p\) via Newton polytopes.
• On the number of zero-patterns of a sequence of polynomials
• Polynomial Equations and Convex Polytopes
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Absolute irreducibility of polynomials via Newton polytopes

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