The Brauer-Manin obstruction for nonisotrivial curves over global function fields

Abstract

We prove that the set of rational points on a nonisotrivial curves of genus at least 2 over a global function field is equal to the set of adelic points cut out by the Brauer-Manin obstruction.

With an appendix by Damian Rössler

References in corpus (2)

• Quadratic points on intersections of two quadrics
• Etale descent obstruction and anabelian geometry of curves over finite fields