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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.
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Fubini-Study metric for an infinite dimensional Hilbert space
The answer is yes and can be found for example in S.Kobayashi "The geometry of bounded domains" T.A.M.S 1959 (92) 267- 290
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0
answers
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How to produce a biholomorphism
If one deals with a simply-connected domain in the complex plane which is not the whole plane then it is easy to construct the biholomorphism mapping it to the unit disc. This can be done by means of …