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D.5.4.1 monodromy

Procedure from library gaussman.lib (see gaussman_lib).

Usage:
monodromy(f[,mode]); poly f, int mode

Assume:
basering has local ordering, f has isolated singularity at 0

Return:
 
if mode=0:
  matrix M: exp(-2*pi*i*M) is a monodromy matrix of f
if mode=1:
  ideal e: exp(-2*pi*i*e) is the spectrum of the monodromy of f
default: mode=1

Example:
 
LIB "gaussman.lib";
ring R=0,(x,y),ds;
poly f=x5+x2y2+y5;
matrix M=monodromy(f);
print(M);
==> 13/10,0,    0,   0,0,     0,    0,    0,   -75/16,0,   0, 
==> 0,    11/10,0,   0,0,     0,    0,    -1/4,0,     0,   0, 
==> 0,    0,    9/10,0,0,     0,    0,    0,   0,     0,   0, 
==> 0,    0,    0,   1,0,     0,    0,    0,   0,     0,   -1,
==> 0,    0,    0,   0,7/10,  0,    0,    0,   0,     0,   0, 
==> 0,    0,    0,   0,-75/16,13/10,0,    0,   0,     0,   0, 
==> 0,    0,    -1/4,0,0,     0,    11/10,0,   0,     0,   0, 
==> 0,    0,    0,   0,0,     0,    0,    9/10,0,     0,   0, 
==> 0,    0,    0,   0,0,     0,    0,    0,   7/10,  0,   0, 
==> 0,    0,    0,   0,0,     0,    0,    0,   0,     1/2, 0, 
==> 0,    0,    0,   0,0,     0,    0,    0,   0,     -1/2,1/2
See also: mondromy_lib.


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