In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was introduced by Mora and Robbiano in 1988. [1] The result is a weaker version of the result presented in the same issue of the journal by Bayer and Morrison. [2] Gröbner fan is a base for the nowadays active field of tropical geometry. One implementation of the Gröbner fan is called Gfan, [3] based on an article of Fukuda, et al. [4] which is included in some computer algebra systems such as Singular, [5] Macaulay2, [6] and CoCoA. [7]
In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was introduced by Mora and Robbiano in 1988. [1] The result is a weaker version of the result presented in the same issue of the journal by Bayer and Morrison. [2] Gröbner fan is a base for the nowadays active field of tropical geometry. One implementation of the Gröbner fan is called Gfan, [3] based on an article of Fukuda, et al. [4] which is included in some computer algebra systems such as Singular, [5] Macaulay2, [6] and CoCoA. [7]