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PositivityToricBundles :: toricChernCharacter

toricChernCharacter -- computes the toric Chern character of a toric vector bundle

Synopsis

Description

Given a toric vector bundle in Klyachko's description, toricChernCharacter computes its toric Chern character as introduced in [P].
toricChernCharacter calles internally the method compatibleBases.
i1 : E = tangentBundle(projectiveSpaceFan 2)

o1 = {dimension of the variety => 2 }
      number of affine charts => 3
      number of rays => 3
      rank of the vector bundle => 2

o1 : ToricVectorBundleKlyachko
i2 : toricChernCharacter E

o2 = HashTable{| -1 0 | => {| 1 |, | 1  |}}
               | -1 1 |     | 0 |  | -1 |
               | 1 -1 | => {| -1 |, | 0 |}
               | 0 -1 |     | 1  |  | 1 |
               | 1 0 | => {| -1 |, | 0  |}
               | 0 1 |     | 0  |  | -1 |

o2 : HashTable

See also

Ways to use toricChernCharacter :

For the programmer

The object toricChernCharacter is a method function with options.