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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.

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Is the number of twists of a curve with a section in a given field finite

Let $X$ be a smooth projective geometrically connected curve over a number field $k$ of genus $g\geq 2$. Is the number of twists of $X$ always infinite? (The answer is no, because there aren't any tw …
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