There is a question which has been perplexing me. Given $S$ a compact Riemann surface, $p$ and $q$ two distinct points. Is it always possible to find a meromorphic function on $S$ which is zero on $p$ but not on $q$?
Thanks!
2026-04-01 06:27:19.1775024839
Riemann Surface, existence of meromorphic function.
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