ToricVectorBundles : Table of Contents

• ToricVectorBundles -- cohomology computations of equivariant vector bundles on toric varieties
• addBase -- changing the basis matrices of a toric vector bundle in Klyachko's description
• addBaseChange -- changing the transition matrices of a toric vector bundle
• addDegrees -- changing the degrees of a toric vector bundle
• addFiltration -- changing the filtration matrices of a toric vector bundle in Klyachko's description
• areIsomorphic -- checks if two vector bundles are isomorphic
• base -- the basis matrices for the rays
• cartierIndex -- the Cartier index of a Weil divisor
• charts -- the number of maximal affine charts
• cocycleCheck -- checks if a toric vector bundle fulfills the cocycle condition
• cokernel(ToricVectorBundleKlyachko,Matrix) -- the cokernel of a morphism to a vector bundle
• cotangentBundle -- the cotangent bundle on a toric variety
• customConeSort (missing documentation)
• deltaE -- the polytope of possible degrees that give non zero cohomology
• details -- the details of a toric vector bundle
• dual(ToricVectorBundle) -- the dual bundle of a toric vector bundle
• eulerChi -- the Euler characteristic of a toric vector bundle
• existsDecomposition -- checks if a list of matrices of weight vectors for each maximal cone admits a decomposition
• exteriorPower(ZZ,ToricVectorBundle) -- the 'l'-th exterior power of a toric vector bundle
• fan(ToricVectorBundle) -- the underlying fan of a toric vector bundle
• filtration -- the filtration matrices of the vector bundle
• findWeights -- finds the possible weight vectors for the maximal cones
• 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
• hirzebruchFan -- the fan of the n-th Hirzebruch surface
• image(ToricVectorBundleKlyachko,Matrix) -- the image of a vector bundle under a morphism
• isGeneral -- checks whether a toric vector bundle is general
• isomorphism -- the isomorphism if the two bundles are isomorphic
• isVectorBundle -- checks if the data does in fact define an equivariant toric vector bundle
• kernel(ToricVectorBundleKlyachko,Matrix) -- the kernel of a morphism to a vector bundle
• maxCones(ToricVectorBundle) -- the list of maximal cones of the underlying fan
• net(ToricVectorBundleKaneyama) -- displays characteristics of a toric vector bundle
• net(ToricVectorBundleKlyachko) -- displays characteristics of a toric vector bundle in Klyachko's description
• pp1ProductFan -- the fan of n products of PP^1
• projectiveSpaceFan -- the fan of projective n space
• randomDeformation -- a random deformation of a given toric vector bundle
• rank(ToricVectorBundle) -- the rank of the vector bundle
• rays(ToricVectorBundle) -- the rays of the underlying fan
• regCheck -- checking the regularity condition for a toric vector bundle
• ring(ToricVectorBundle) -- the graded ring of the bundle
• symmetricPower(ZZ,ToricVectorBundle) -- the 'l'-th symmetric power of a toric vector bundle
• tangentBundle -- the tangent bundle on a toric variety
• tensor(ToricVectorBundle,ToricVectorBundle) -- the tensor product of two toric vector bundles
• ToricVectorBundle -- the class of all toric vector bundles
• toricVectorBundle -- the trivial bundle of rank 'k' for a given fan
• 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
• toricVectorBundle(ZZ,Fan,List,List) -- a toric vector bundle of rank 'k' with given filtrations or degrees
• ToricVectorBundleKaneyama -- the class of all toric vector bundles in Kaneyama's description
• ToricVectorBundleKlyachko -- the class of all toric vector bundles in Klyachko's description
• twist -- twists a toric vector bundle with a line bundle
• weilToCartier -- the line bundle given by a Cartier divisor