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Results tagged with complex-geometry
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user 1162
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
1
vote
Show properness of Ahlfors map
I assume that by $\Delta$ you mean the unit disk, not the unit cicle, as is written in the question.
There are several ways to prove that the Ahlfors map is a proper holomophic map of degree $n$ of $ …
- 2,154
2
votes
Is there an explicit formula for the modulus of an annulus given a parameterization of the i...
I also think there is no "explicit formula" for the conformal modulus, even in simple cases. However, as mentioned in Igor Rivin's answer, there are methods for approximating the conformal map and the …
- 2,154
3
votes
Reference request: uniformization theorem
Let me second Alex Eremenko's suggestion for
Donald Marshall, Complex Analysis, Cambridge 2019.
The proof is based on the new notion of dipole Green's function, and is especially interesting in view o …
- 2,154