A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations

Mboyo Esole, Monica Jinwoo Kang, Shing-Tung Yau

We introduce a new model for elliptic fibrations endowed with a Mordell-Weil group of rank one. We call it a Q${}_7(\mathcal{L},\mathcal{S})$ model. It naturally generalizes several…