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Timeline for Number of points of algebraic curve

Current License: CC BY-SA 4.0

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Aug 20, 2021 at 17:46 comment added Will Sawin @virkkunen Unfortunately, I think the meaning of "all the known requirements" depends unavoidably on how the function $f$ is described.
Aug 20, 2021 at 17:30 comment added user178279 Is there a simple condition on the function that captures all the known requirements (from Serre's work and elsewhere)?
Aug 20, 2021 at 17:11 comment added Will Sawin For example, $f(p)=p$ is a counterexample. This is probably the simplest such formula by any reasonable measure of simplicity, though the diagonalization is still the simplest proof.
Aug 20, 2021 at 17:09 history answered Will Sawin CC BY-SA 4.0