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D.6.7.1 gmsring

Procedure from library gmssing.lib (see gmssing_lib).

Usage:
gmsring(t,s); poly t, string s

Assume:
characteristic 0; local degree ordering;
isolated critical point 0 of t

Return:
 
ring G;  Gauss-Manin system of t with variable s
  poly gmspoly=t;
  ideal gmsjacob;  Jacobian ideal of t
  ideal gmsstd;  standard basis of Jacobian ideal
  matrix gmsmatrix;  matrix(gmsjacob)*gmsmatrix==matrix(gmsstd)
  ideal gmsbasis;  monomial vector space basis of Jacobian algebra
  int gmsmaxdeg;  maximal weight of variables

Note:
gmsbasis is a C[[s]]-basis of H" and [t,s]=s^2

Example:
 


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