2-selmer parity for Jacobians of hyperelliptic curves in quadratic extensions
We study the 2-parity conjecture for Jacobians of hyperelliptic curves over number fields. Under some mild assumptions on their reduction, we prove it over quadratic extensions of the base field, providing essentially the first examples of the 2-parity conjecture in dimension greater than one. The p...
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University of Bristol
2015
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682363 |