Ideal-specific elimination orders form a star-shaped region.

Hartwig Bosse,Christine Gärtner,Oleg Golubitsky

Journal of Symbolic Computation（2013）

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摘要

This paper shows that for any given polynomial ideal I⊂K[x1,…,xn] the collection of Gröbner cones corresponding to I-specific elimination orders forms a star-shaped region which contrary to first intuition in general is not convex.

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关键词

Polynomial ideal,Elimination,Gröbner basis,Gröbner fan,Gröbner walk,Basis conversion

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