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D.6.19.5 addnondegeneratevariables
Procedure from library realclassify.lib (see realclassify_lib).
- Usage:
- addnondegeneratevariables(NFR); NFR NormalFormEquation
- Return:
- Adds squares of the non-degenerate variables (i.e. var(cr+1), ...,
var(nvars(basering)) for corank cr) to the normalform nf,
with signs according to the inertia index.
Example:
| | LIB "realclassify.lib";
ring r = 0, (x,y,z), ds;
poly f = (x2+3y-2z)^2+xyz-(x-y3+x2z3)^3;
list NFR = realclassify(f);
NFR[1];
==> Corank = 2
==> Inertia index = 0
==> Normalform equation of type = D[4]-
==> Normalform equation = x2y-y3
==> Milnor number = 4
==> Modality = 0
==> Determinacy <= 3
==>
addnondegeneratevariables(NFR[1]);
==> Corank = 2
==> Inertia index = 0
==> Normalform equation of type = D[4]-
==> Normalform equation = z2+x2y-y3
==> Milnor number = 4
==> Modality = 0
==> Determinacy <= 3
==>
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See also:
realmorsesplit.
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