If E1 and E2 are defined over the same fan and are in the same description, then tensor computes the tensor product of the two vector bundles in this description.
i1 : E1 = toricVectorBundle(2,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 : E2 = tangentBundle hirzebruchFan 3
o2 = {dimension of the variety => 2 }
number of affine charts => 4
number of rays => 4
rank of the vector bundle => 2
o2 : ToricVectorBundleKlyachko
i3 : E = tensor(E1,E2)
o3 = {dimension of the variety => 2 }
number of affine charts => 4
number of rays => 4
rank of the vector bundle => 4
o3 : ToricVectorBundleKlyachko