Singular

D.16.1.4 maximalGroebnerCone

Syntax:

maximalGroebnerCone( poly g )
maximalGroebnerCone( ideal I )

Assume:

I reduced standard basis

Type:

cone

Purpose:

the euklidean closure of all weight vectors with respect to whom the initial form of g equals its leading term or the initial ideal of I equals its leading ideal.

Example:

LIB "gfanlib.so"; ring r = 0,(x,y),dp; poly g = x+y+1; cone C = maximalGroebnerCone(g); rays(C); ==> 0,-1, ==> 1, 1 generatorsOfLinealitySpace(C); ==> ideal I = x2-y3,x3-y2-x; I = std(I); C = maximalGroebnerCone(I); rays(C); ==> 3,2, ==> 2,3 generatorsOfLinealitySpace(C); ==>