toDual -- finds the inverse system to an ideal up to a given degree

Synopsis

Usage:

M = toDual (ZZ, I)
Inputs:
- I, an ideal, in a standard graded polynomial ring
Optional inputs:
- DividedPowers => ..., default value true
Outputs:
- M, a matrix, interpreted as list of generators of inverse system to I

Description

If I is an ideal, then toDual(d,I) = inverseSystem(d, I). See the documentation of InverseSystems for the basic theory and of inverseSystem for the function.

If I is a matrix, then the code first replaces it with the ideal generated by the entries.

Caveat

The Base ring of the input must be a standard graded polynomial ring over a field.

Ways to use toDual:

toDual(ZZ,Ideal)
toDual(ZZ,Matrix)

For the programmer

The object toDual is a method function with options.