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D.6.13.3 jacoblift
Procedure from library mondromy.lib (see mondromy_lib).
- Usage:
- jacoblift(f); f poly
- Assume:
- The polynomial f in a series ring (local ordering) defines
an isolated hypersurface singularity.
- Return:
- The procedure returns a list with entries kappa, xi, u of type
int, vector, poly such that kappa is minimal with f^kappa in jacob(f),
u is a unit, and u*f^kappa=(matrix(jacob(f))*xi)[1,1].
- Display:
- The procedure displays comments if printlevel>=1.
Example:
| | LIB "mondromy.lib";
ring R=0,(x,y),ds;
poly f=x2y2+x6+y6;
jacoblift(f);
==> [1]:
==> 2
==> [2]:
==> 1/2x2y3*gen(2)+1/6x7*gen(1)+5/6x6y*gen(2)-2/3xy6*gen(1)+1/6y7*gen(2)-4\
x4y5*gen(2)-3/2x9y2*gen(1)-15/2x8y3*gen(2)+9/2x3y8*gen(1)-3/2x2y9*gen(2)
==> [3]:
==> 1-9x2y2
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