Suppose $K$ is a local field (finite extension of $\mathbb Q _p$), and $X/K$ is a genus $>1$ projective smooth curve. Is it true that $X(K)$ is finite? (I think it's false, but could you give an counterexample?)
2026-03-26 15:16:22.1774538182
Is Mordell conjecture true for local field?
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