removeRedundancy -- removes redundancies from a list of planes

Synopsis

Usage:

removeRedundancy L
Inputs:
- L, of pairs indexing affine planes
Outputs:
- a list, with no redundancies in L.

Description

The method takes a list of pairs that indexes planes and removes redundancies in the list. By a redundancy, we mean when one plane in the list is contained in another plane.

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : I = ideal(x*y,y*z)

o2 = ideal (x*y, y*z)

o2 : Ideal of R

i3 : Q = quasidegrees(R^1/I)

o3 = {{0, {| 1 |}}, {0, {| 1 |, | 1 |}}}

o3 : List

The two pairs in Q each correspond to the complex plane so there is a redundancy.

i4 : removeRedundancy Q

o4 = {{0, {| 1 |, | 1 |}}}

o4 : List

Ways to use removeRedundancy :

removeRedundancy(List)

For the programmer

The object removeRedundancy is a method function.