Transcendental Brauer elements via descent on elliptic surfaces

Details Transcendental Brauer elements via descent on elliptic surfaces Transcendental Brauer elements via descent on elliptic surfaces

2012-02-24

arxiv.org/abs/1202.5348v2

Mathematics

Algebraic Geometry

10 pages, small edits made to the introduction, references added in the introduction

Scientific paper

Transcendental Brauer elements are notoriously difficult to compute. Work of
Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion
transcendental classes on surfaces that have a genus 1 fibration with rational
2-torsion in the Jacobian fibration. We use ideas from a descent paper of
Poonen and Schaefer to remove this assumption on the rational 2-torsion.

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