Timeline for Basic question about branch points on Riemann surfaces
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2020 at 11:20 | comment | added | BCLC | Xandi Tuni and @rfauffar Re why branch points form discrete set, do you disagree with Federico Fallucca here? (It's my question, and I also refer to Rick Miranda - Algebraic Curves and Riemann Surfaces) | |
| Apr 5, 2011 at 13:42 | comment | added | Georges Elencwajg | Dear Xandi, I think your map has $f(1/n)=0$ as its only branch point (=critical value). | |
| Apr 5, 2011 at 12:28 | comment | added | rfauffar | But in your example, $X$ isn't connected. I understand if the preimage of a compact set is compact. What if $X$ is connected? Many books simply say that branch points form a discrete set, but don't give any proof (Miranda, Algebraic Curves and Riemann Surfaces, for example). | |
| Apr 5, 2011 at 12:03 | history | answered | Xandi Tuni | CC BY-SA 2.5 |