referenceWeights -- return a weight for all polytopes associated to a toric quiver

• Usage:

  referenceWeights QCS

• Inputs:
  • QCS, a list, of cones comprising the chamber decomposition for weights
• Outputs:
  • L, a list, of weights, where each weight is in the interior of a unique chamber of the cone system for the quiver

i1 : Q = toricQuiver {{0,1},{0,2},{0,3},{1,2},{1,3},{2,3}};

i2 : CS = coneSystem Q;

i3 : R = referenceWeights CS

o3 = {{-1, -1, -1, 3}, {-2, 1, -1, 2}, {-3, 1, 1, 1}, {-2, -2, 1, 3}, {-3,
     ------------------------------------------------------------------------
     -1, 2, 2}, {-1, -3, 2, 2}, {-2, -2, 3, 1}}

o3 : List