D.16.1.2 homogeneitySpace

Syntax:

homogeneitySpace( poly g )
homogeneitySpace( ideal I )

Type:

cone

Purpose:

the linear space of all weight vectors with respect to whom a polynomial g or an ideal I is weighted homogeneous.

Example:

LIB "gfanlib.so"; ring r = 0,(x,y,z),dp; poly g = x+y; cone homogSpace = homogeneitySpace(g); rays(homogSpace); ==> generatorsOfLinealitySpace(homogSpace); ==> -1,-1, 0, ==> 0, 0,-1 ideal I = x+y, y+z; homogSpace = homogeneitySpace(I); rays(homogSpace); ==> generatorsOfLinealitySpace(homogSpace); ==> -1,-1,-1