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I've started reading Hindry-Silverman's Diophantine Geometry and I got a little ahead of myself. Non-isomorphic elliptic curves have non-isomorphic Jacobians, that is because elliptic curves are isomorphic to their Jacobians. However, in the case of two non-isomorphic hyperelliptic curves, are their Jacobians non-isomorphic?

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    I'm literally running out the door. Key words to look up: Torelli Theorem.2012-08-29

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