rank(ToricVectorBundle) -- the rank of the vector bundle

Synopsis

• Function: rank

• Usage:

  k = rank E

• Inputs:
  • E, an instance of the type ToricVectorBundle
• Outputs:
  • k, an integer

Description

Returns the rank $k$ of the toric vector bundle in Kaneyama's description.

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 : rank E

o2 = 3

See also

• rays(ToricVectorBundle) -- the rays of the underlying fan
• fan(ToricVectorBundle) -- the underlying fan of a toric vector bundle
• charts -- the number of maximal affine charts