Finite descent on curves II

Abstract: We prove that the descent obstruction by finite abelian covers matches the Brauer-Manin obstruction.

Reference: Stoll, Finite descent obstructions and rational points on curves, Sections 7-9 (note the erratum)

algebraic geometrynumber theory

Audience: advanced learners

STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2026 topic: The descent obstruction.

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.