Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2.
We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate-Shafarevich group for descent via Richelot isogeny. We prove this by performing a descent via Richelot isogeny and a complete 2-descent on the isogenous Jacobian. We also give an explicit model of an...
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| Format: | Journal article |
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2009
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