The canonical bundle is a holomorphic line bundle on a complex manifold which is determined by its complex structure. On a coordinate chart (z_1, ...z_n), it is spanned by the nonvanishing section d z_1 ⋀...⋀d z_n. The transition function between coordinate charts is given by the determinant of the Jacobian of the coordinate change. The canonical bundle is defined in a similar way to the holomorphic tangent bundle. In fact, it is the nth exterior power of the dual bundle to the holomorphic tangent bundle.