ToricVectorBundle -- the class of all toric vector bundles

Description

In OldToricVectorBundles an equivariant vector bundle on some toric variety is given as an object of class ToricVectorBundle which can be given in two descriptions:

By a collection of vector spaces with filtration for each ray of the underlying fan, ToricVectorBundleKlyachko.
By a set of degree vectors for each maximal cone and a transition matrix for each pair of maximal cones of the underlying fan, ToricVectorBundleKaneyama.

For more detailed descriptions see the corresponding pages of the two subtypes.

Types of ToricVectorBundle:

ToricVectorBundleKaneyama -- the class of all toric vector bundles in Kaneyama's description
ToricVectorBundleKlyachko -- the class of all toric vector bundles in Klyachko's description

Functions and methods returning an object of class ToricVectorBundle:

exteriorPower(ZZ,ToricVectorBundle) -- the 'l'-th exterior power of a toric vector bundle
tensor(ToricVectorBundle,ToricVectorBundle) -- the tensor product of two toric vector bundles

Methods that use an object of class ToricVectorBundle:

charts(ToricVectorBundle) -- see charts -- the number of maximal affine charts
deltaE(ToricVectorBundle) -- see deltaE -- the polytope of possible degrees that give non zero cohomology
details(ToricVectorBundle) -- see details -- the details of a toric vector bundle
dual(ToricVectorBundle) -- the dual bundle of a toric vector bundle
eulerChi(Matrix,ToricVectorBundle) -- see eulerChi -- the Euler characteristic of a toric vector bundle
eulerChi(ToricVectorBundle) -- see eulerChi -- the Euler characteristic of a toric vector bundle
HH^ZZ ToricVectorBundle -- the i-th cohomology group of a toric vector bundle
hh^ZZ ToricVectorBundle -- the rank of the i-th cohomology group of a toric vector bundle
HH^ZZ(ToricVectorBundle,List) -- the i-th cohomology of a toric vector bundle for a given list of degrees
HH^ZZ(ToricVectorBundle,Matrix) -- the i-th cohomology of a toric vector bundle in a given degree
isVectorBundle(ToricVectorBundle) -- see isVectorBundle -- checks if the data does in fact define an equivariant toric vector bundle
rank(ToricVectorBundle) -- the rank of the vector bundle
rays(ToricVectorBundle) -- the rays of the underlying fan
ring(ToricVectorBundle) -- the graded ring of the bundle
symmetricPower(ZZ,ToricVectorBundle) -- the 'l'-th symmetric power of a toric vector bundle
ToricVectorBundle ** ToricVectorBundle -- the tensor product of two toric vector bundles
ToricVectorBundle ++ ToricVectorBundle -- the direct sum of two toric vector bundles
ToricVectorBundle == ToricVectorBundle -- checks for equality

For the programmer