Arithmetic and geometry of rational elliptic surfaces

Abstract

Let $\mathscr {E}$ be a rational elliptic surface over a number field~$k$. We study the interplay between a geometric property, the configuration of its singular fibers, and arithmetic features such as its Mordell-Weil rank over the base field and its possible minimal models over~$k$.

Locations

• Rocky Mountain Journal of Mathematics - View - PDF