matroid(CentralArrangement) -- get the matroid of a central arrangement

Synopsis

• Function: matroid

• Usage:

  matroid arr

• Inputs:
  • arr, a central hyperplane arrangement,
• Optional inputs:
  • EntryMode => ..., default value "bases",
  • Loops => ..., default value {},
  • ParallelEdges => ..., default value {},
• Outputs:
  • a matroid, the matroid of arr

Description

i1 : A = matrix{{1,1,0},{-1,0,1},{0,-1,-1}}

o1 = | 1  1  0  |
     | -1 0  1  |
     | 0  -1 -1 |

              3       3
o1 : Matrix ZZ  <-- ZZ

i2 : arr = arrangement A

o2 = {x  - x , x  - x , x  - x }
       1    2   1    3   2    3

o2 : Hyperplane Arrangement 

i3 : matroid arr

o3 = a "matroid" of rank 2 on 3 elements

o3 : Matroid

See also

• matroid(Matrix) -- constructs a matroid