linealitySpace(TropicalCycle) -- computes the lineality space of a tropical cycle

Synopsis

Function: linealitySpace
Usage:

linealitySpace(T)
Inputs:
- T, a tropical cycle,
Outputs:
- M, a matrix,

Description

This function computes the lineality space of the fan associated to the tropical cycle T. The generators of the lineality space are the columns of the output matrix

i1 : QQ[x,y,z];

i2 : I=ideal(x-y);

o2 : Ideal of QQ[x..z]

i3 : T=tropicalVariety I;

i4 : L=linealitySpace T

o4 = | 1 0 |
     | 1 0 |
     | 0 1 |

              3       2
o4 : Matrix ZZ  <-- ZZ

Ways to use this method: