Description
For each ray of the fan there is a filtration matrix. If the bundle has rank $k$ then this is a one row matrix over
ZZ with $k$ entries. This defines the filtration on the corresponding base matrix (see
base) such that the $j$-th filtration is generated by all columns of the base matrix for which the entry in the same column of the filtration matrix is less or equal to $j$.
i1 : E = tangentBundle hirzebruchFan 2
o1 = {dimension of the variety => 2 }
number of affine charts => 4
number of rays => 4
rank of the vector bundle => 2
o1 : ToricVectorBundleKlyachko
|
i2 : filtration E
o2 = HashTable{| -1 | => | -1 0 |}
| 2 |
| 0 | => | -1 0 |
| -1 |
| 0 | => | -1 0 |
| 1 |
| 1 | => | -1 0 |
| 0 |
o2 : HashTable
|
So in this example for each ray the first column of the basis appears at -1 and the second at 0.