The basis of a toric vector bundle in Klyachko's description is given for each ray as a square
matrix of rank
k of the bundle. The output is a
HashTable where the keys are the
rays of the fan given as one column matrices over
ZZ, and for each ray a
k
by
k matrix over
QQ and
k is the rank of the bundle.
i1 : E = tangentBundle hirzebruchFan 3
o1 = {dimension of the variety => 2 }
number of affine charts => 4
number of rays => 4
rank of the vector bundle => 2
o1 : ToricVectorBundleKlyachko
|
i2 : base E
o2 = HashTable{| -1 | => | -1 1/3 |}
| 3 | | 3 0 |
| 0 | => | 0 1 |
| -1 | | -1 0 |
| 0 | => | 0 1 |
| 1 | | 1 0 |
| 1 | => | 1 0 |
| 0 | | 0 1 |
o2 : HashTable
|