Two-torsion of the Brauer Group of an Elliptic Surface

Abstract: The Brauer group of a variety encodes important arithmetic information. For instance, it plays an important role in the Brauer-Manin obstruction, which governs the existence of rational points on many varieties. In this thesis we describe the 2-torsion part of the Brauer group of certain elliptic surfaces. In particular, we compute explicit representatives of these elements in terms of quaternion algebras over the function field of the surface.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

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