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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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Defining equations for hyperelliptic Jacobians in a neighbourhood of the identity
Let $X$ be a hyperelliptic curve of genus $g \ge 2$ over a field $k$ (of characteristic not 2, 3 or 5, if you like, but could be positive in general). Let $J$ be the Jacobian of $X$, thought of as $\ …