Let $f:X\to Y$ be a non-constant morphism of smooth projective connected curves over $\mathbf{C}$ (or compact connected Riemann surfaces).
Suppose that $X=Y$ and that $f$ is not the identity.
Why are the fixed points of $f$ isolated?
2026-04-02 10:50:27.1775127027
Why does a non-constant endomorphism of curves have isolated fixed points
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