Talk:Reinhardt domain

Example in 1 dimensional case

It seems to me that the following sentence is not exact: "Note that in one complex variable, a logarithmically convex Reinhardt domain is simply a disc." I think it should be anulus instead of disc. But if we add the condition of containing the origin then it has to be a disc. What do you think? That actually the first I study Reinhardt domain, so I don't want to do any change myself for the moment.