The list
L contains a list for each maximal cone
σ of the
underlying fan. For each maximal cone
σ this list contains all matrices of
possible weight vectors, that induce the filtrations on the rays of this cone (modulo permutations,
but yet not all permutations). This means that for one of these matrices
M multplied
with the matrix
R of rays of this cone (the rays are the rows) gives the matrix of
filtrations of these rays (where for each filtration the entries may be permuted).
i1 : E = tangentBundle projectiveSpaceFan 3
o1 = {dimension of the variety => 3 }
number of affine charts => 4
number of rays => 4
rank of the vector bundle => 3
o1 : ToricVectorBundleKlyachko
|
i2 : findWeights E
o2 = {{| 1 1 1 |, | 1 1 1 |}, {| -1 0 0 |, | -1 0 0 |}, {| -1 0 0 |,
| -1 0 0 | | -1 0 0 | | 1 1 1 | | 1 1 1 | | 0 -1 0 |
| 0 0 -1 | | 0 -1 0 | | 0 0 -1 | | 0 -1 0 | | 0 0 -1 |
------------------------------------------------------------------------
| -1 0 0 |}, {| -1 0 0 |, | -1 0 0 |}}
| 0 0 -1 | | 0 -1 0 | | 0 0 -1 |
| 0 -1 0 | | 1 1 1 | | 1 1 1 |
o2 : List
|