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D.6.9.5 monodromy
Procedure from library gmssing.lib (see gmssing_lib).
- Usage:
- monodromy(t); poly t
- Assume:
- characteristic 0; local degree ordering;
isolated critical point 0 of t
- Return:
| | list l; Jordan data jordan(M) of monodromy matrix exp(-2*pi*i*M)
ideal l[1];
number l[1][i]; eigenvalue of i-th Jordan block of M
intvec l[2];
int l[2][i]; size of i-th Jordan block of M
intvec l[3];
int l[3][i]; multiplicity of i-th Jordan block of M
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Example:
| | LIB "gmssing.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
monodromy(t);
==> [1]:
==> _[1]=1/2
==> _[2]=7/10
==> _[3]=9/10
==> _[4]=1
==> _[5]=11/10
==> _[6]=13/10
==> [2]:
==> 2,1,1,1,1,1
==> [3]:
==> 1,2,2,1,2,2
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See also:
linalg_lib;
mondromy_lib.
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