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7.7.19.0. Dlocalization
Procedure from library dmodloc.lib (see dmodloc_lib).
- Usage:
- Dlocalization(I,f[,k,e]); I ideal, f poly, k,e optional ints
- Assume:
- The basering is the n-th Weyl algebra over a field of
characteristic 0 and for all 1<=i<=n the identity
var(i+n)*var(i)=var(i)*var(i+1)+1 holds, i.e. the sequence of
variables is given by x(1),...,x(n),D(1),...,D(n), where D(i)
is the differential operator belonging to x(i).
Further, assume that f does not contain any D(i) and that I is
holonomic on K^n\V(f).
- Return:
- ideal or list, computes an ideal J such that D/J is isomorphic
to D/I localized at f as D-modules.
If k<>0, a list consisting of J and an integer m is returned,
such that f^m represents the natural map from D/I to D/J.
Otherwise (and by default), only the ideal J is returned.
- Remarks:
- It is known that a localization at f of a holonomic D-module is
again a holonomic D-module.
Reference: (OTW)
- Note:
- If e<>0,
std is used for Groebner basis computations,
otherwise (and by default) slimgb is used.
If printlevel=1, progress debug messages will be printed,
if printlevel>=2, all the debug messages will be printed.
Example:
See also:
DLoc;
DLoc0;
SDLoc.
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