High Quality Content by WIKIPEDIA articles! In the mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose inverse is also holomorphic. Formally, a biholomorphic function is a function ¿ defined on an open subset U of the n-dimensional complex space Cn with values in Cn whi ...Full description
High Quality Content by WIKIPEDIA articles! In the mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose inverse is also holomorphic. Formally, a biholomorphic function is a function ¿ defined on an open subset U of the n-dimensional complex space Cn with values in Cn which is holomorphic and one-to-one, such that its image is an open set V in Cn and the inverse phi^{-1}:Vto U is also holomorphic. More generally, U and V can be complex manifolds. One can prove that it is enough for ¿ to be holomorphic and one-to-one in order for it to be biholomorphic onto its image.