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D.6.9.4 bernstein
Procedure from library gmssing.lib (see gmssing_lib).
- Usage:
- bernstein(t); poly t
- Assume:
- characteristic 0; local degree ordering;
isolated critical point 0 of t
- Return:
| | list bs; Bernstein-Sato polynomial b(s) of t
ideal bs[1];
number bs[1][i]; i-th root of b(s)
intvec bs[2];
int bs[2][i]; multiplicity of i-th root of b(s)
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Example:
| | LIB "gmssing.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
bernstein(t);
==> [1]:
==> _[1]=-13/10
==> _[2]=-11/10
==> _[3]=-1
==> _[4]=-9/10
==> _[5]=-7/10
==> _[6]=-1/2
==> [2]:
==> 1,1,2,1,1,2
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