A biholomorphism is a bijective holomorphic map whose inverse is holomorphic. A degree-one nonconstant holomorphic map between compact connected Riemann surfaces is a biholomorphism.
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- Analytic germ projection
- Automorphism of a one-dimensional complex torus
- Automorphism of the unit disk
- Beltrami equation
- Exponential covering of an annulus by a vertical strip
- Green-function exhaustion proof of disk uniformization
- Harmonicity under holomorphic composition
- Holomorphic coordinate
- Holomorphic embedding
- Island of a meromorphic function
- Local coordinate
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- Single-pole criterion for a spherical coordinate
- Teichmüller space
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Biholomorphism is a concept from complex analysis, specifically in the study of several complex variables and complex manifolds. It refers to a certain type of mapping between complex manifolds.