Mazur's conjecture on ranks in elliptic K3 surface families
Let π:E→PQ1\pi:\mathcal{E}\to\mathbf{P}^1_{\mathbf{Q}}π:E→PQ1 be an elliptic K3 surface, and for t∈PQ1t\in\mathbf{P}^1_{\mathbf{Q}}t∈PQ1 let Et=π−1(t)\mathcal{E}_t=\pi^{-1}(t)Et=π−1(t) be the fibre. Mazur's conjectur…
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