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.
[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.
This commutative algebra-related article is a stub.