next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
OldToricVectorBundles :: HH^ZZ(ToricVectorBundle,Matrix)

HH^ZZ(ToricVectorBundle,Matrix) -- the i-th cohomology of a toric vector bundle in a given degree

Synopsis

Description

"Computes the i-th cohomology group of the toric vector bundle E of degree u where u must be a one-column matrix giving a point in the lattice of the fan over which E is defined and i must be between 0 and the dimension of the underlying toric variety."

i1 : E = tangentBundle hirzebruchFan 3

o1 = {dimension of the variety => 2 }
      number of affine charts => 4
      number of rays => 4
      rank of the vector bundle => 2

o1 : ToricVectorBundleKlyachko
i2 : HH^0 (E,matrix{{1},{0}})

           1
o2 = (QQ[])

o2 : QQ[]-module, free, degrees {{1, 0}}

See also