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Analytically dense Mordell-Weil rank jumps on elliptic surfaces via transverse realization
Following Park-Schmitt, let $\mathcal{W}_{\mathrm{min},n}$ denote the moduli stack of minimal Weierstrass fibrations of Faltings height $n\ge2$ over an unparameterized $\mathbb{P}^1_{\mathbb{C}}$. A very general member has Mordell-Weil rank zero. For every integer $r$ satisfying $1\le r\le\left\lflo
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