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Results tagged with cv.complex-variables
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user 126775
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
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Accepted
injective holomorphic mapping between unit disk and unit polydisk
Take $f(z_1,z_2):=(z_1,sz_2+(1-s)z_1)$, $0<s<1$. For example, $s=1/2$. Then $f$ is an injective holomorphic mapping from $B(0,1)$ to $P(0,1)$, ($n=2$), sending $0$ to $0$. Moreover, $\|f(s,0)\|>1$ for …
- 46
1
vote
Does Bergman metric induce the standard topology?
For the answer see the book by Jarnicki - Pflug: Invariant distances and metrics in complex analysis, 2nd edition, Corollary 12.9.7.
- 46