I am studying proper holomorphic maps: one result is that there are no proper holomorphic maps from $B_n$ to $\Delta^n$, i.e. from the open ball in $\mathbb C^n$ in the open polydisc. What if I increase the dimension on the right?
I can't come to an answer: for what I know, embedding theorems could hold, such that every ball can be embedded holomorphically into some polydisc in great dimension.
Thank you in advance for any suggestion.