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D.13.6.37 homogeneitySpace
Procedure from library tropical.lib (see tropical_lib).
- Usage:
- homogeneitySpace(I); I ideal or poly
- Assume:
- I a reduced standard basis
- Return:
- cone, the set of all weight vectors with respect to whom I is weighted homogeneous
Example:
| | LIB "tropical.lib";
ring r = 0,(x,y,z),dp;
ideal I = cyclic(3);
option(redSB);
ideal stdI = std(I);
cone C0I = homogeneitySpace(stdI);
print(generatorsOfLinealitySpace(C0I));
==>
ring s = 0,(x,y,z,u),dp;
ideal Ih = homog(cyclic(3),u);
ideal stdI = std(Ih);
cone C0Ih = homogeneitySpace(stdI);
print(generatorsOfLinealitySpace(C0Ih));
==> -1,-1,-1,-1
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