ring(ToricVectorBundle) -- the graded ring of the bundle

Synopsis

• Function: ring

• Usage:

  R = ring E

• Inputs:
  • E, an instance of the type ToricVectorBundle
• Outputs:
  • R, a ring

Description

i1 : E = tangentBundle(projectiveSpaceFan 3,"Type" => "Kaneyama")

o1 = {dimension of the variety => 3 }
      number of affine charts => 4
      rank of the vector bundle => 3

o1 : ToricVectorBundleKaneyama

i2 : ring E

o2 = QQ[]

o2 : PolynomialRing

i3 : E = toricVectorBundle(1,projectiveSpaceFan 2, toList(3:matrix{{1/2}}),toList(3:matrix{{-1}}))

o3 = {dimension of the variety => 2 }
      number of affine charts => 3
      number of rays => 3
      rank of the vector bundle => 1

o3 : ToricVectorBundleKlyachko

i4 : ring E

o4 = QQ[]

o4 : PolynomialRing

See also

• HH^ZZ ToricVectorBundle -- the i-th cohomology group of a toric vector bundle
• HH^ZZ(ToricVectorBundle,Matrix) -- the i-th cohomology of a toric vector bundle in a given degree
• HH^ZZ(ToricVectorBundle,List) -- the i-th cohomology of a toric vector bundle for a given list of degrees