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Newton polytopes and irreducible components of complete intersections

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Publication:2810942
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DOI10.1070/IM8307zbMath1370.14043MaRDI QIDQ2810942

A. G. Khovanskii

Publication date: 6 June 2016

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


zbMATH Keywords

toric varietiesmixed volumeNewton polytopesirreducible componentsholomorphic forms


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) Mixed volumes and related topics in convex geometry (52A39) Topological aspects of complex manifolds (32Q55) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Solving polynomial systems; resultants (13P15)


Related Items (7)

Multivariate Abel-Ruffini ⋮ Comparison principle based on Minkowski mixed volumes for a family of differential equations ⋮ A note on polynomial maps having fibers of maximal dimension ⋮ Complete intersections in spherical varieties ⋮ Galois theory for general systems of polynomial equations ⋮ Novel trend of mixed Minkowski volumes applications ⋮ Bivariate systems of polynomial equations with roots of high multiplicity




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