Timeline for How to produce a biholomorphism
Current License: CC BY-SA 3.0
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Sep 18, 2012 at 0:10 | comment | added | Steven Gubkin | I talked to my advisor about this and he doesn't think there is much. The fact that having the bergman kernels allows you to construct the biholomorphism in 1 complex variable is really kind of a fluke: The "change of coordinates" formula for the bergman kernel in higher dimensions involves the determinant of the complex Jacobian. It is pretty rare that you would somehow know that two domains were biholomorphic without having an explicit map in higher dimensions: we don't have anything like a Riemann mapping theorem. | |
Sep 15, 2012 at 5:39 | history | edited | Michael Albanese |
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Sep 14, 2012 at 21:16 | history | asked | Ahmed Sulejmani | CC BY-SA 3.0 |