Zero-patterns of polynomials and Newton polytopes

We present an upper bound on the number of regions into which affine space or the torus over a field may be partitioned by the vanishing and non-vanishing of a finite collection of multivariate polynomials. The bound is related to the number of lattice points in the Newton polytopes of the polynomia...

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Bibliographic Details
Main Author: Lauder, A
Format: Journal article
Language:English
Published: Elsevier 2003
Subjects: