Torsion Sections of Elliptic Surfaces

Abstract

Given a torsion section of a semistable elliptic surface, we prove equidistribution results for the components of singular fibers which are hit by the section, and for the root of unity (identifying the zero component with $\mathbb{C}$) which is hit by the section in case the section hits the zero component.

13 pages, AMS-LaTeX