Analytically dense Mordell-Weil rank jumps on elliptic surfaces via transverse realization

Jun-Yong Park

Let ${\mathcal{W}}_{\min ,n}$ be the moduli stack of minimal Weierstrass fibrations of Faltings height $n$ over an unparameterized ${\mathbb{P}}_{\mathbb{C}}^1$, and let $\mathc…