▶ Relation between an affine toric variety U_{c,N} and an affine toric variety defined by using a sublattice N’of finite index

▶ Proof of the isomorphism U_{c,N} = U_{c,N’}/(N/N’)

▶ Projective toric varieties, their tori and character lattices

▶ Criterion for the affine toric variety Y_A to be the cone over the projective toric variety X_A