In several complex variables, a meromorphic function is defined to be locally a quotient of two holomorphic functions. For example, f(z_1, z_2) = z_1 / z_2 is a meromorphic function on the two-dimensional complex affine space. Here it is no longer true that every meromorphic function can be regarded as a holomorphic function with values in the Riemann sphere: There is a set of "indeterminacy" of codimension two (in the given example this set consists of the origin (0, 0)).
