Doubly isogenous curves of genus two with a rational action of $D_6

Let $C$ and $C'$ be curves over a finite field $K$, provided with embeddings $\iota$ and $\iota'$ into their Jacobian varieties. Let $D\to C$ and $D'\to C'$ be the pullbacks (via these embeddings) of the multiplication-by-$2$ maps on the Jacobians. We say that $(C,\iota)$ and $(C...

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Hauptverfasser:	Booher, Jeremy, Howe, Everett W, Sutherland, Andrew V, Voloch, José Felipe
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Number Theory
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