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VarietyOfPolarSimplices :: variableIndices

variableIndices -- make lists of desired indices

Synopsis

Usage:
(L,L11n,L11k,L1jn,L1jk,Lijn,Lijk)=variableIndices n
(L4,L3,L2,L1)=variableIndices(n,Symmetric=>true)
Inputs:
- n, an integer, the number of variables of the homogeneous coordinate ring of P^n-1
Optional inputs:
- Symmetric => ... (missing documentation),
Outputs:
- a sequence, a Sequence of Lists of desired indices

Description

Creates the desired lists of indices for our unfolding

i1 : (L,L11n,L11k,L1jn,L1jk,Lijn,Lijk)=variableIndices(4);

i2 : L

o2 = {(1, 1), (1, 2), (1, 3), (2, 2), (2, 3), (3, 3)}

o2 : List

i3 : L11n,L11k,L1jn

o3 = ({((1, 1), 4)}, {((1, 1), 2), ((1, 1), 3)}, {((1, 2), 4), ((1, 3), 4)})

o3 : Sequence

i4 : L1jk,Lijn

o4 = ({((1, 2), 2), ((1, 2), 3), ((1, 3), 2), ((1, 3), 3)}, {((2, 2), 4),
     ------------------------------------------------------------------------
     ((2, 3), 4), ((3, 3), 4)})

o4 : Sequence

i5 : Lijk

o5 = {((2, 2), 2), ((2, 2), 3), ((2, 3), 2), ((2, 3), 3), ((3, 3), 2), ((3,
     ------------------------------------------------------------------------
     3), 3)}

o5 : List

Ways to use `variableIndices` :

variableIndices(ZZ)