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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Hyperelliptic equation on a function field
Let us consider a hyperelliptic equation
$$Y^2=A_nX^n+A_{n-1}X^{n-1}+\dots+A_0$$
where $A_i\in\mathbb{C}[z]$. I am interested in rational solutions $X,Y\in\mathbb{C}(z)$ when genus is $\geq 2$ and equ …