Newton polyhedra (resolution of singularities)

DOI10.1007/BF01084822zbMath0544.14006MaRDI QIDQ796590

A. G. Khovanskii

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

toric varietiescomplete intersectionsNewton polyhedraresolutions of singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Complete intersections (14M10) Implicit function theorems; global Newton methods on manifolds (58C15) Complex singularities (32Sxx)

Related Items (7)

PICARD LATTICES OF FAMILIES OF K3 SURFACES ⋮ Mellin transforms and algebraic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Power geometry and four applications ⋮ Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra ⋮ Algorithms of the local nonlinear analysis

Cites Work

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• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• Index of a stationary point of a vector field on the plane
• Amenable Banach algebras
• Newton polyhedra and toroidal varieties
• Polyedres de Newton et nombres de Milnor
• Zeta-function of monodromy and Newton's diagram
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• The noncommutative Markovian property

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