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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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Finite orbits on an elliptic curve with two generic involutions
Let $C$ be a (very) general genus 1 curve embedded in $\mathbb{CP}^1\times \mathbb{CP}^1$ as a (2,2)-divisor.
Each projection defines $C$ as a double cover of $\mathbb{CP}^1$ and induces an involuti …